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Finding the Fourth Proportional to 1,008.28, 1,512.54 and 947.53

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Solution

The fourth proportional to 1,008.28, 1,512.54 and 947.53 is: 1,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.28 : 1,512.54 = 947.53 : x
  2. Step 2: Convert to fraction form
    1,008.28/1,512.54 = 947.53/x
  3. Step 3: Cross multiply
    1,008.28x = 1,512.54 × 947.53
  4. Step 4: Simplify right side
    1,008.28x = 1,433,177.03
  5. Step 5: Solve for x
    x = 1,433,177.03/1,008.28
  6. Step 6: Final answer
    x = 1,421.41

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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.