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Finding the Fourth Proportional to 938.60, 1,406.52 and 451.88

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Solution

The fourth proportional to 938.60, 1,406.52 and 451.88 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.60 : 1,406.52 = 451.88 : x
  2. Step 2: Convert to fraction form
    938.60/1,406.52 = 451.88/x
  3. Step 3: Cross multiply
    938.60x = 1,406.52 × 451.88
  4. Step 4: Simplify right side
    938.60x = 635,578.26
  5. Step 5: Solve for x
    x = 635,578.26/938.60
  6. Step 6: Final answer
    x = 677.16

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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.