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Finding the Fourth Proportional to 1,098.03, 1,645.42 and 686.14

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Solution

The fourth proportional to 1,098.03, 1,645.42 and 686.14 is: 1,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.03 : 1,645.42 = 686.14 : x
  2. Step 2: Convert to fraction form
    1,098.03/1,645.42 = 686.14/x
  3. Step 3: Cross multiply
    1,098.03x = 1,645.42 × 686.14
  4. Step 4: Simplify right side
    1,098.03x = 1,128,988.48
  5. Step 5: Solve for x
    x = 1,128,988.48/1,098.03
  6. Step 6: Final answer
    x = 1,028.19

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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.