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Finding the Fourth Proportional to 1,165.83, 1,609.25 and 724.11

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Solution

The fourth proportional to 1,165.83, 1,609.25 and 724.11 is: 999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.83 : 1,609.25 = 724.11 : x
  2. Step 2: Convert to fraction form
    1,165.83/1,609.25 = 724.11/x
  3. Step 3: Cross multiply
    1,165.83x = 1,609.25 × 724.11
  4. Step 4: Simplify right side
    1,165.83x = 1,165,270.40
  5. Step 5: Solve for x
    x = 1,165,270.40/1,165.83
  6. Step 6: Final answer
    x = 999.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.