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Finding the Fourth Proportional to 1,013.05, 1,397.79 and 614.62

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Solution

The fourth proportional to 1,013.05, 1,397.79 and 614.62 is: 848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.05 : 1,397.79 = 614.62 : x
  2. Step 2: Convert to fraction form
    1,013.05/1,397.79 = 614.62/x
  3. Step 3: Cross multiply
    1,013.05x = 1,397.79 × 614.62
  4. Step 4: Simplify right side
    1,013.05x = 859,109.69
  5. Step 5: Solve for x
    x = 859,109.69/1,013.05
  6. Step 6: Final answer
    x = 848.04

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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.