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Finding the Fourth Proportional to 1,076.30, 1,614.45 and 954.80

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Solution

The fourth proportional to 1,076.30, 1,614.45 and 954.80 is: 1,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.30 : 1,614.45 = 954.80 : x
  2. Step 2: Convert to fraction form
    1,076.30/1,614.45 = 954.80/x
  3. Step 3: Cross multiply
    1,076.30x = 1,614.45 × 954.80
  4. Step 4: Simplify right side
    1,076.30x = 1,541,476.86
  5. Step 5: Solve for x
    x = 1,541,476.86/1,076.30
  6. Step 6: Final answer
    x = 1,432.20

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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.