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Finding the Fourth Proportional to 1,116.13, 1,538.86 and 717.09

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Solution

The fourth proportional to 1,116.13, 1,538.86 and 717.09 is: 988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.13 : 1,538.86 = 717.09 : x
  2. Step 2: Convert to fraction form
    1,116.13/1,538.86 = 717.09/x
  3. Step 3: Cross multiply
    1,116.13x = 1,538.86 × 717.09
  4. Step 4: Simplify right side
    1,116.13x = 1,103,501.12
  5. Step 5: Solve for x
    x = 1,103,501.12/1,116.13
  6. Step 6: Final answer
    x = 988.69

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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.