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Finding the Fourth Proportional to 1,012.84, 1,397.34 and 614.36

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Solution

The fourth proportional to 1,012.84, 1,397.34 and 614.36 is: 847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.84 : 1,397.34 = 614.36 : x
  2. Step 2: Convert to fraction form
    1,012.84/1,397.34 = 614.36/x
  3. Step 3: Cross multiply
    1,012.84x = 1,397.34 × 614.36
  4. Step 4: Simplify right side
    1,012.84x = 858,469.80
  5. Step 5: Solve for x
    x = 858,469.80/1,012.84
  6. Step 6: Final answer
    x = 847.59

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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.