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Finding the Fourth Proportional to 1,154.78, 1,729.73 and 807.29

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Solution

The fourth proportional to 1,154.78, 1,729.73 and 807.29 is: 1,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.78 : 1,729.73 = 807.29 : x
  2. Step 2: Convert to fraction form
    1,154.78/1,729.73 = 807.29/x
  3. Step 3: Cross multiply
    1,154.78x = 1,729.73 × 807.29
  4. Step 4: Simplify right side
    1,154.78x = 1,396,389.70
  5. Step 5: Solve for x
    x = 1,396,389.70/1,154.78
  6. Step 6: Final answer
    x = 1,209.23

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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.