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Finding the Fourth Proportional to 937.05, 1,404.63 and 450.24

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Solution

The fourth proportional to 937.05, 1,404.63 and 450.24 is: 674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.05 : 1,404.63 = 450.24 : x
  2. Step 2: Convert to fraction form
    937.05/1,404.63 = 450.24/x
  3. Step 3: Cross multiply
    937.05x = 1,404.63 × 450.24
  4. Step 4: Simplify right side
    937.05x = 632,420.61
  5. Step 5: Solve for x
    x = 632,420.61/937.05
  6. Step 6: Final answer
    x = 674.91

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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.