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Finding the Fourth Proportional to 1,116.58, 1,542.79 and 1,077.16

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Solution

The fourth proportional to 1,116.58, 1,542.79 and 1,077.16 is: 1,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.58 : 1,542.79 = 1,077.16 : x
  2. Step 2: Convert to fraction form
    1,116.58/1,542.79 = 1,077.16/x
  3. Step 3: Cross multiply
    1,116.58x = 1,542.79 × 1,077.16
  4. Step 4: Simplify right side
    1,116.58x = 1,661,829.17
  5. Step 5: Solve for x
    x = 1,661,829.17/1,116.58
  6. Step 6: Final answer
    x = 1,488.32

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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.