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Finding the Fourth Proportional to 1,076.52, 1,614.78 and 307.02

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Solution

The fourth proportional to 1,076.52, 1,614.78 and 307.02 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.52 : 1,614.78 = 307.02 : x
  2. Step 2: Convert to fraction form
    1,076.52/1,614.78 = 307.02/x
  3. Step 3: Cross multiply
    1,076.52x = 1,614.78 × 307.02
  4. Step 4: Simplify right side
    1,076.52x = 495,769.76
  5. Step 5: Solve for x
    x = 495,769.76/1,076.52
  6. Step 6: Final answer
    x = 460.53

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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.