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Finding the Fourth Proportional to 1,647.01, 2,470.81 and 781.31

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Solution

The fourth proportional to 1,647.01, 2,470.81 and 781.31 is: 1,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.01 : 2,470.81 = 781.31 : x
  2. Step 2: Convert to fraction form
    1,647.01/2,470.81 = 781.31/x
  3. Step 3: Cross multiply
    1,647.01x = 2,470.81 × 781.31
  4. Step 4: Simplify right side
    1,647.01x = 1,930,475.71
  5. Step 5: Solve for x
    x = 1,930,475.71/1,647.01
  6. Step 6: Final answer
    x = 1,172.11

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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.