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Finding the Fourth Proportional to 747.15, 1,031.14 and 415.60

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Solution

The fourth proportional to 747.15, 1,031.14 and 415.60 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.15 : 1,031.14 = 415.60 : x
  2. Step 2: Convert to fraction form
    747.15/1,031.14 = 415.60/x
  3. Step 3: Cross multiply
    747.15x = 1,031.14 × 415.60
  4. Step 4: Simplify right side
    747.15x = 428,541.78
  5. Step 5: Solve for x
    x = 428,541.78/747.15
  6. Step 6: Final answer
    x = 573.57

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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.