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Finding the Fourth Proportional to 926.83, 1,278.54 and 533.59

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Solution

The fourth proportional to 926.83, 1,278.54 and 533.59 is: 736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.83 : 1,278.54 = 533.59 : x
  2. Step 2: Convert to fraction form
    926.83/1,278.54 = 533.59/x
  3. Step 3: Cross multiply
    926.83x = 1,278.54 × 533.59
  4. Step 4: Simplify right side
    926.83x = 682,216.16
  5. Step 5: Solve for x
    x = 682,216.16/926.83
  6. Step 6: Final answer
    x = 736.07

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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.