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Finding the Fourth Proportional to 1,267.83, 1,902.54 and 487.91

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Solution

The fourth proportional to 1,267.83, 1,902.54 and 487.91 is: 732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.83 : 1,902.54 = 487.91 : x
  2. Step 2: Convert to fraction form
    1,267.83/1,902.54 = 487.91/x
  3. Step 3: Cross multiply
    1,267.83x = 1,902.54 × 487.91
  4. Step 4: Simplify right side
    1,267.83x = 928,258.78
  5. Step 5: Solve for x
    x = 928,258.78/1,267.83
  6. Step 6: Final answer
    x = 732.16

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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.