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Finding the Fourth Proportional to 747.16, 1,031.06 and 415.57

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Solution

The fourth proportional to 747.16, 1,031.06 and 415.57 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.16 : 1,031.06 = 415.57 : x
  2. Step 2: Convert to fraction form
    747.16/1,031.06 = 415.57/x
  3. Step 3: Cross multiply
    747.16x = 1,031.06 × 415.57
  4. Step 4: Simplify right side
    747.16x = 428,480.90
  5. Step 5: Solve for x
    x = 428,480.90/747.16
  6. Step 6: Final answer
    x = 573.48

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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.