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Finding the Fourth Proportional to 727.57, 1,004.00 and 432.78

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Solution

The fourth proportional to 727.57, 1,004.00 and 432.78 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.57 : 1,004.00 = 432.78 : x
  2. Step 2: Convert to fraction form
    727.57/1,004.00 = 432.78/x
  3. Step 3: Cross multiply
    727.57x = 1,004.00 × 432.78
  4. Step 4: Simplify right side
    727.57x = 434,505.19
  5. Step 5: Solve for x
    x = 434,505.19/727.57
  6. Step 6: Final answer
    x = 597.20

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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.