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Finding the Fourth Proportional to 1,112.27, 1,534.86 and 614.87

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Solution

The fourth proportional to 1,112.27, 1,534.86 and 614.87 is: 848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.27 : 1,534.86 = 614.87 : x
  2. Step 2: Convert to fraction form
    1,112.27/1,534.86 = 614.87/x
  3. Step 3: Cross multiply
    1,112.27x = 1,534.86 × 614.87
  4. Step 4: Simplify right side
    1,112.27x = 943,731.69
  5. Step 5: Solve for x
    x = 943,731.69/1,112.27
  6. Step 6: Final answer
    x = 848.48

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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.