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Finding the Fourth Proportional to 1,162.58, 1,744.92 and 615.17

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Solution

The fourth proportional to 1,162.58, 1,744.92 and 615.17 is: 923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.58 : 1,744.92 = 615.17 : x
  2. Step 2: Convert to fraction form
    1,162.58/1,744.92 = 615.17/x
  3. Step 3: Cross multiply
    1,162.58x = 1,744.92 × 615.17
  4. Step 4: Simplify right side
    1,162.58x = 1,073,422.44
  5. Step 5: Solve for x
    x = 1,073,422.44/1,162.58
  6. Step 6: Final answer
    x = 923.31

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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.