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Finding the Fourth Proportional to 1,267.28, 1,901.04 and 487.52

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Solution

The fourth proportional to 1,267.28, 1,901.04 and 487.52 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.28 : 1,901.04 = 487.52 : x
  2. Step 2: Convert to fraction form
    1,267.28/1,901.04 = 487.52/x
  3. Step 3: Cross multiply
    1,267.28x = 1,901.04 × 487.52
  4. Step 4: Simplify right side
    1,267.28x = 926,795.02
  5. Step 5: Solve for x
    x = 926,795.02/1,267.28
  6. Step 6: Final answer
    x = 731.33

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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.