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Finding the Fourth Proportional to 1,112.17, 1,534.57 and 614.80

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Solution

The fourth proportional to 1,112.17, 1,534.57 and 614.80 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.17 : 1,534.57 = 614.80 : x
  2. Step 2: Convert to fraction form
    1,112.17/1,534.57 = 614.80/x
  3. Step 3: Cross multiply
    1,112.17x = 1,534.57 × 614.80
  4. Step 4: Simplify right side
    1,112.17x = 943,442.89
  5. Step 5: Solve for x
    x = 943,442.89/1,112.17
  6. Step 6: Final answer
    x = 848.29

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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.