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Finding the Fourth Proportional to 747.23, 1,031.15 and 415.65

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Solution

The fourth proportional to 747.23, 1,031.15 and 415.65 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.23 : 1,031.15 = 415.65 : x
  2. Step 2: Convert to fraction form
    747.23/1,031.15 = 415.65/x
  3. Step 3: Cross multiply
    747.23x = 1,031.15 × 415.65
  4. Step 4: Simplify right side
    747.23x = 428,594.27
  5. Step 5: Solve for x
    x = 428,594.27/747.23
  6. Step 6: Final answer
    x = 573.58

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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.