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Finding the Fourth Proportional to 926.78, 1,278.69 and 533.72

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Solution

The fourth proportional to 926.78, 1,278.69 and 533.72 is: 736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.78 : 1,278.69 = 533.72 : x
  2. Step 2: Convert to fraction form
    926.78/1,278.69 = 533.72/x
  3. Step 3: Cross multiply
    926.78x = 1,278.69 × 533.72
  4. Step 4: Simplify right side
    926.78x = 682,463.62
  5. Step 5: Solve for x
    x = 682,463.62/926.78
  6. Step 6: Final answer
    x = 736.39

Related Problems

Find fourth proportional to 463.39, 639.34 and 266.86
Half scale
Find fourth proportional to 1,853.55, 2,557.37 and 1,067.45
Double scale
Find fourth proportional to 927.78, 1,280.07 and 534.72
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.