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Finding the Fourth Proportional to 1,008.18, 1,511.90 and 358.78

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Solution

The fourth proportional to 1,008.18, 1,511.90 and 358.78 is: 538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.18 : 1,511.90 = 358.78 : x
  2. Step 2: Convert to fraction form
    1,008.18/1,511.90 = 358.78/x
  3. Step 3: Cross multiply
    1,008.18x = 1,511.90 × 358.78
  4. Step 4: Simplify right side
    1,008.18x = 542,439.48
  5. Step 5: Solve for x
    x = 542,439.48/1,008.18
  6. Step 6: Final answer
    x = 538.04

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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.