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Finding the Fourth Proportional to 1,098.40, 1,647.48 and 942.88

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Solution

The fourth proportional to 1,098.40, 1,647.48 and 942.88 is: 1,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.40 : 1,647.48 = 942.88 : x
  2. Step 2: Convert to fraction form
    1,098.40/1,647.48 = 942.88/x
  3. Step 3: Cross multiply
    1,098.40x = 1,647.48 × 942.88
  4. Step 4: Simplify right side
    1,098.40x = 1,553,375.94
  5. Step 5: Solve for x
    x = 1,553,375.94/1,098.40
  6. Step 6: Final answer
    x = 1,414.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.