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Finding the Fourth Proportional to 1,098.33, 1,647.87 and 686.97

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Solution

The fourth proportional to 1,098.33, 1,647.87 and 686.97 is: 1,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.33 : 1,647.87 = 686.97 : x
  2. Step 2: Convert to fraction form
    1,098.33/1,647.87 = 686.97/x
  3. Step 3: Cross multiply
    1,098.33x = 1,647.87 × 686.97
  4. Step 4: Simplify right side
    1,098.33x = 1,132,041.24
  5. Step 5: Solve for x
    x = 1,132,041.24/1,098.33
  6. Step 6: Final answer
    x = 1,030.70

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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.