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Finding the Fourth Proportional to 747.88, 1,031.86 and 433.12

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Solution

The fourth proportional to 747.88, 1,031.86 and 433.12 is: 597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.88 : 1,031.86 = 433.12 : x
  2. Step 2: Convert to fraction form
    747.88/1,031.86 = 433.12/x
  3. Step 3: Cross multiply
    747.88x = 1,031.86 × 433.12
  4. Step 4: Simplify right side
    747.88x = 446,919.20
  5. Step 5: Solve for x
    x = 446,919.20/747.88
  6. Step 6: Final answer
    x = 597.58

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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.