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Finding the Fourth Proportional to 1,131.57, 1,694.30 and 784.17

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Solution

The fourth proportional to 1,131.57, 1,694.30 and 784.17 is: 1,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.57 : 1,694.30 = 784.17 : x
  2. Step 2: Convert to fraction form
    1,131.57/1,694.30 = 784.17/x
  3. Step 3: Cross multiply
    1,131.57x = 1,694.30 × 784.17
  4. Step 4: Simplify right side
    1,131.57x = 1,328,615.31
  5. Step 5: Solve for x
    x = 1,328,615.31/1,131.57
  6. Step 6: Final answer
    x = 1,174.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.