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Finding the Fourth Proportional to 1,008.16, 1,511.28 and 358.54

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Solution

The fourth proportional to 1,008.16, 1,511.28 and 358.54 is: 537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.16 : 1,511.28 = 358.54 : x
  2. Step 2: Convert to fraction form
    1,008.16/1,511.28 = 358.54/x
  3. Step 3: Cross multiply
    1,008.16x = 1,511.28 × 358.54
  4. Step 4: Simplify right side
    1,008.16x = 541,854.33
  5. Step 5: Solve for x
    x = 541,854.33/1,008.16
  6. Step 6: Final answer
    x = 537.47

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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.