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Finding the Fourth Proportional to 1,112.05, 1,534.62 and 614.73

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Solution

The fourth proportional to 1,112.05, 1,534.62 and 614.73 is: 848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.05 : 1,534.62 = 614.73 : x
  2. Step 2: Convert to fraction form
    1,112.05/1,534.62 = 614.73/x
  3. Step 3: Cross multiply
    1,112.05x = 1,534.62 × 614.73
  4. Step 4: Simplify right side
    1,112.05x = 943,369.28
  5. Step 5: Solve for x
    x = 943,369.28/1,112.05
  6. Step 6: Final answer
    x = 848.32

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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.