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Finding the Fourth Proportional to 1,267.62, 1,898.91 and 781.62

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Solution

The fourth proportional to 1,267.62, 1,898.91 and 781.62 is: 1,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.62 : 1,898.91 = 781.62 : x
  2. Step 2: Convert to fraction form
    1,267.62/1,898.91 = 781.62/x
  3. Step 3: Cross multiply
    1,267.62x = 1,898.91 × 781.62
  4. Step 4: Simplify right side
    1,267.62x = 1,484,226.03
  5. Step 5: Solve for x
    x = 1,484,226.03/1,267.62
  6. Step 6: Final answer
    x = 1,170.88

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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.