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Finding the Fourth Proportional to 1,076.15, 1,614.25 and 296.15

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Solution

The fourth proportional to 1,076.15, 1,614.25 and 296.15 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.15 : 1,614.25 = 296.15 : x
  2. Step 2: Convert to fraction form
    1,076.15/1,614.25 = 296.15/x
  3. Step 3: Cross multiply
    1,076.15x = 1,614.25 × 296.15
  4. Step 4: Simplify right side
    1,076.15x = 478,059.34
  5. Step 5: Solve for x
    x = 478,059.34/1,076.15
  6. Step 6: Final answer
    x = 444.23

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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.