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Finding the Fourth Proportional to 747.32, 1,030.98 and 432.56

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Solution

The fourth proportional to 747.32, 1,030.98 and 432.56 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.32 : 1,030.98 = 432.56 : x
  2. Step 2: Convert to fraction form
    747.32/1,030.98 = 432.56/x
  3. Step 3: Cross multiply
    747.32x = 1,030.98 × 432.56
  4. Step 4: Simplify right side
    747.32x = 445,960.71
  5. Step 5: Solve for x
    x = 445,960.71/747.32
  6. Step 6: Final answer
    x = 596.75

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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.