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Finding the Fourth Proportional to 1,172.38, 1,617.61 and 700.18

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Solution

The fourth proportional to 1,172.38, 1,617.61 and 700.18 is: 966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.38 : 1,617.61 = 700.18 : x
  2. Step 2: Convert to fraction form
    1,172.38/1,617.61 = 700.18/x
  3. Step 3: Cross multiply
    1,172.38x = 1,617.61 × 700.18
  4. Step 4: Simplify right side
    1,172.38x = 1,132,614.67
  5. Step 5: Solve for x
    x = 1,132,614.67/1,172.38
  6. Step 6: Final answer
    x = 966.09

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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.