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Finding the Fourth Proportional to 1,116.77, 1,541.73 and 867.53

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Solution

The fourth proportional to 1,116.77, 1,541.73 and 867.53 is: 1,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.77 : 1,541.73 = 867.53 : x
  2. Step 2: Convert to fraction form
    1,116.77/1,541.73 = 867.53/x
  3. Step 3: Cross multiply
    1,116.77x = 1,541.73 × 867.53
  4. Step 4: Simplify right side
    1,116.77x = 1,337,497.03
  5. Step 5: Solve for x
    x = 1,337,497.03/1,116.77
  6. Step 6: Final answer
    x = 1,197.65

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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.