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Finding the Fourth Proportional to 1,074.38, 1,612.71 and 458.37

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Solution

The fourth proportional to 1,074.38, 1,612.71 and 458.37 is: 688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.38 : 1,612.71 = 458.37 : x
  2. Step 2: Convert to fraction form
    1,074.38/1,612.71 = 458.37/x
  3. Step 3: Cross multiply
    1,074.38x = 1,612.71 × 458.37
  4. Step 4: Simplify right side
    1,074.38x = 739,217.88
  5. Step 5: Solve for x
    x = 739,217.88/1,074.38
  6. Step 6: Final answer
    x = 688.04

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