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Finding the Fourth Proportional to 1,098.76, 1,648.17 and 482.15

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Solution

The fourth proportional to 1,098.76, 1,648.17 and 482.15 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.76 : 1,648.17 = 482.15 : x
  2. Step 2: Convert to fraction form
    1,098.76/1,648.17 = 482.15/x
  3. Step 3: Cross multiply
    1,098.76x = 1,648.17 × 482.15
  4. Step 4: Simplify right side
    1,098.76x = 794,665.17
  5. Step 5: Solve for x
    x = 794,665.17/1,098.76
  6. Step 6: Final answer
    x = 723.24

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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.