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Finding the Fourth Proportional to 1,116.64, 1,684.96 and 1,071.69

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Solution

The fourth proportional to 1,116.64, 1,684.96 and 1,071.69 is: 1,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.64 : 1,684.96 = 1,071.69 : x
  2. Step 2: Convert to fraction form
    1,116.64/1,684.96 = 1,071.69/x
  3. Step 3: Cross multiply
    1,116.64x = 1,684.96 × 1,071.69
  4. Step 4: Simplify right side
    1,116.64x = 1,805,754.78
  5. Step 5: Solve for x
    x = 1,805,754.78/1,116.64
  6. Step 6: Final answer
    x = 1,617.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.