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Finding the Fourth Proportional to 1,133.28, 1,691.70 and 1,116.87

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Solution

The fourth proportional to 1,133.28, 1,691.70 and 1,116.87 is: 1,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.28 : 1,691.70 = 1,116.87 : x
  2. Step 2: Convert to fraction form
    1,133.28/1,691.70 = 1,116.87/x
  3. Step 3: Cross multiply
    1,133.28x = 1,691.70 × 1,116.87
  4. Step 4: Simplify right side
    1,133.28x = 1,889,408.98
  5. Step 5: Solve for x
    x = 1,889,408.98/1,133.28
  6. Step 6: Final answer
    x = 1,667.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.