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Finding the Fourth Proportional to 1,013.49, 1,520.49 and 551.15

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Solution

The fourth proportional to 1,013.49, 1,520.49 and 551.15 is: 826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.49 : 1,520.49 = 551.15 : x
  2. Step 2: Convert to fraction form
    1,013.49/1,520.49 = 551.15/x
  3. Step 3: Cross multiply
    1,013.49x = 1,520.49 × 551.15
  4. Step 4: Simplify right side
    1,013.49x = 838,010.46
  5. Step 5: Solve for x
    x = 838,010.46/1,013.49
  6. Step 6: Final answer
    x = 826.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.