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Finding the Fourth Proportional to 727.65, 1,004.10 and 432.86

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Solution

The fourth proportional to 727.65, 1,004.10 and 432.86 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.65 : 1,004.10 = 432.86 : x
  2. Step 2: Convert to fraction form
    727.65/1,004.10 = 432.86/x
  3. Step 3: Cross multiply
    727.65x = 1,004.10 × 432.86
  4. Step 4: Simplify right side
    727.65x = 434,634.73
  5. Step 5: Solve for x
    x = 434,634.73/727.65
  6. Step 6: Final answer
    x = 597.31

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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.