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Finding the Fourth Proportional to 1,098.80, 1,648.20 and 962.11

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Solution

The fourth proportional to 1,098.80, 1,648.20 and 962.11 is: 1,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.80 : 1,648.20 = 962.11 : x
  2. Step 2: Convert to fraction form
    1,098.80/1,648.20 = 962.11/x
  3. Step 3: Cross multiply
    1,098.80x = 1,648.20 × 962.11
  4. Step 4: Simplify right side
    1,098.80x = 1,585,749.70
  5. Step 5: Solve for x
    x = 1,585,749.70/1,098.80
  6. Step 6: Final answer
    x = 1,443.17

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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.