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Finding the Fourth Proportional to 1,013.26, 1,398.12 and 614.83

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Solution

The fourth proportional to 1,013.26, 1,398.12 and 614.83 is: 848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.26 : 1,398.12 = 614.83 : x
  2. Step 2: Convert to fraction form
    1,013.26/1,398.12 = 614.83/x
  3. Step 3: Cross multiply
    1,013.26x = 1,398.12 × 614.83
  4. Step 4: Simplify right side
    1,013.26x = 859,606.12
  5. Step 5: Solve for x
    x = 859,606.12/1,013.26
  6. Step 6: Final answer
    x = 848.36

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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.