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Finding the Fourth Proportional to 1,115.66, 1,538.93 and 717.19

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Solution

The fourth proportional to 1,115.66, 1,538.93 and 717.19 is: 989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.66 : 1,538.93 = 717.19 : x
  2. Step 2: Convert to fraction form
    1,115.66/1,538.93 = 717.19/x
  3. Step 3: Cross multiply
    1,115.66x = 1,538.93 × 717.19
  4. Step 4: Simplify right side
    1,115.66x = 1,103,703.15
  5. Step 5: Solve for x
    x = 1,103,703.15/1,115.66
  6. Step 6: Final answer
    x = 989.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.