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Finding the Fourth Proportional to 747.12, 1,030.90 and 432.23

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Solution

The fourth proportional to 747.12, 1,030.90 and 432.23 is: 596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.12 : 1,030.90 = 432.23 : x
  2. Step 2: Convert to fraction form
    747.12/1,030.90 = 432.23/x
  3. Step 3: Cross multiply
    747.12x = 1,030.90 × 432.23
  4. Step 4: Simplify right side
    747.12x = 445,585.91
  5. Step 5: Solve for x
    x = 445,585.91/747.12
  6. Step 6: Final answer
    x = 596.40

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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.