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Finding the Fourth Proportional to 926.30, 1,278.32 and 594.74

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Solution

The fourth proportional to 926.30, 1,278.32 and 594.74 is: 820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.30 : 1,278.32 = 594.74 : x
  2. Step 2: Convert to fraction form
    926.30/1,278.32 = 594.74/x
  3. Step 3: Cross multiply
    926.30x = 1,278.32 × 594.74
  4. Step 4: Simplify right side
    926.30x = 760,268.26
  5. Step 5: Solve for x
    x = 760,268.26/926.30
  6. Step 6: Final answer
    x = 820.76

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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.