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Finding the Fourth Proportional to 1,076.14, 1,614.53 and 686.42

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Solution

The fourth proportional to 1,076.14, 1,614.53 and 686.42 is: 1,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.14 : 1,614.53 = 686.42 : x
  2. Step 2: Convert to fraction form
    1,076.14/1,614.53 = 686.42/x
  3. Step 3: Cross multiply
    1,076.14x = 1,614.53 × 686.42
  4. Step 4: Simplify right side
    1,076.14x = 1,108,254.46
  5. Step 5: Solve for x
    x = 1,108,254.46/1,076.14
  6. Step 6: Final answer
    x = 1,029.85

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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.