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Finding the Fourth Proportional to 674.64, 932.70 and 592.56

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Solution

The fourth proportional to 674.64, 932.70 and 592.56 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.64 : 932.70 = 592.56 : x
  2. Step 2: Convert to fraction form
    674.64/932.70 = 592.56/x
  3. Step 3: Cross multiply
    674.64x = 932.70 × 592.56
  4. Step 4: Simplify right side
    674.64x = 552,680.71
  5. Step 5: Solve for x
    x = 552,680.71/674.64
  6. Step 6: Final answer
    x = 819.22

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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.