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Finding the Fourth Proportional to 1,116.97, 1,541.45 and 836.71

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Solution

The fourth proportional to 1,116.97, 1,541.45 and 836.71 is: 1,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.97 : 1,541.45 = 836.71 : x
  2. Step 2: Convert to fraction form
    1,116.97/1,541.45 = 836.71/x
  3. Step 3: Cross multiply
    1,116.97x = 1,541.45 × 836.71
  4. Step 4: Simplify right side
    1,116.97x = 1,289,744.87
  5. Step 5: Solve for x
    x = 1,289,744.87/1,116.97
  6. Step 6: Final answer
    x = 1,154.68

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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.