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Finding the Fourth Proportional to 1,098.61, 1,648.16 and 318.65

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Solution

The fourth proportional to 1,098.61, 1,648.16 and 318.65 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.61 : 1,648.16 = 318.65 : x
  2. Step 2: Convert to fraction form
    1,098.61/1,648.16 = 318.65/x
  3. Step 3: Cross multiply
    1,098.61x = 1,648.16 × 318.65
  4. Step 4: Simplify right side
    1,098.61x = 525,177.94
  5. Step 5: Solve for x
    x = 525,177.94/1,098.61
  6. Step 6: Final answer
    x = 478.04

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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.