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Finding the Fourth Proportional to 1,161.74, 1,605.28 and 864.19

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Solution

The fourth proportional to 1,161.74, 1,605.28 and 864.19 is: 1,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.74 : 1,605.28 = 864.19 : x
  2. Step 2: Convert to fraction form
    1,161.74/1,605.28 = 864.19/x
  3. Step 3: Cross multiply
    1,161.74x = 1,605.28 × 864.19
  4. Step 4: Simplify right side
    1,161.74x = 1,387,260.75
  5. Step 5: Solve for x
    x = 1,387,260.75/1,161.74
  6. Step 6: Final answer
    x = 1,194.12

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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.