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Finding the Fourth Proportional to 1,076.11, 1,614.17 and 296.10

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Solution

The fourth proportional to 1,076.11, 1,614.17 and 296.10 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.11 : 1,614.17 = 296.10 : x
  2. Step 2: Convert to fraction form
    1,076.11/1,614.17 = 296.10/x
  3. Step 3: Cross multiply
    1,076.11x = 1,614.17 × 296.10
  4. Step 4: Simplify right side
    1,076.11x = 477,955.74
  5. Step 5: Solve for x
    x = 477,955.74/1,076.11
  6. Step 6: Final answer
    x = 444.15

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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.