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Finding the Fourth Proportional to 1,112.10, 1,534.68 and 614.78

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Solution

The fourth proportional to 1,112.10, 1,534.68 and 614.78 is: 848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.10 : 1,534.68 = 614.78 : x
  2. Step 2: Convert to fraction form
    1,112.10/1,534.68 = 614.78/x
  3. Step 3: Cross multiply
    1,112.10x = 1,534.68 × 614.78
  4. Step 4: Simplify right side
    1,112.10x = 943,490.57
  5. Step 5: Solve for x
    x = 943,490.57/1,112.10
  6. Step 6: Final answer
    x = 848.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.