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Finding the Fourth Proportional to 747.30, 1,031.34 and 415.77

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Solution

The fourth proportional to 747.30, 1,031.34 and 415.77 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.30 : 1,031.34 = 415.77 : x
  2. Step 2: Convert to fraction form
    747.30/1,031.34 = 415.77/x
  3. Step 3: Cross multiply
    747.30x = 1,031.34 × 415.77
  4. Step 4: Simplify right side
    747.30x = 428,800.23
  5. Step 5: Solve for x
    x = 428,800.23/747.30
  6. Step 6: Final answer
    x = 573.80

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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.