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Finding the Fourth Proportional to 1,169.31, 1,753.16 and 519.69

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Solution

The fourth proportional to 1,169.31, 1,753.16 and 519.69 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.31 : 1,753.16 = 519.69 : x
  2. Step 2: Convert to fraction form
    1,169.31/1,753.16 = 519.69/x
  3. Step 3: Cross multiply
    1,169.31x = 1,753.16 × 519.69
  4. Step 4: Simplify right side
    1,169.31x = 911,097.12
  5. Step 5: Solve for x
    x = 911,097.12/1,169.31
  6. Step 6: Final answer
    x = 779.18

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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.