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Finding the Fourth Proportional to 1,102.59, 1,654.80 and 686.46

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Solution

The fourth proportional to 1,102.59, 1,654.80 and 686.46 is: 1,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.59 : 1,654.80 = 686.46 : x
  2. Step 2: Convert to fraction form
    1,102.59/1,654.80 = 686.46/x
  3. Step 3: Cross multiply
    1,102.59x = 1,654.80 × 686.46
  4. Step 4: Simplify right side
    1,102.59x = 1,135,954.01
  5. Step 5: Solve for x
    x = 1,135,954.01/1,102.59
  6. Step 6: Final answer
    x = 1,030.26

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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.