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Finding the Fourth Proportional to 937.52, 1,405.87 and 498.67

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Solution

The fourth proportional to 937.52, 1,405.87 and 498.67 is: 747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.52 : 1,405.87 = 498.67 : x
  2. Step 2: Convert to fraction form
    937.52/1,405.87 = 498.67/x
  3. Step 3: Cross multiply
    937.52x = 1,405.87 × 498.67
  4. Step 4: Simplify right side
    937.52x = 701,062.30
  5. Step 5: Solve for x
    x = 701,062.30/937.52
  6. Step 6: Final answer
    x = 747.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.