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Finding the Fourth Proportional to 1,076.01, 1,614.95 and 614.01

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Solution

The fourth proportional to 1,076.01, 1,614.95 and 614.01 is: 921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.01 : 1,614.95 = 614.01 : x
  2. Step 2: Convert to fraction form
    1,076.01/1,614.95 = 614.01/x
  3. Step 3: Cross multiply
    1,076.01x = 1,614.95 × 614.01
  4. Step 4: Simplify right side
    1,076.01x = 991,592.38
  5. Step 5: Solve for x
    x = 991,592.38/1,076.01
  6. Step 6: Final answer
    x = 921.55

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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.