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Finding the Fourth Proportional to 1,500.39, 2,250.72 and 404.76

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Solution

The fourth proportional to 1,500.39, 2,250.72 and 404.76 is: 607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.39 : 2,250.72 = 404.76 : x
  2. Step 2: Convert to fraction form
    1,500.39/2,250.72 = 404.76/x
  3. Step 3: Cross multiply
    1,500.39x = 2,250.72 × 404.76
  4. Step 4: Simplify right side
    1,500.39x = 911,001.43
  5. Step 5: Solve for x
    x = 911,001.43/1,500.39
  6. Step 6: Final answer
    x = 607.18

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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.