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Finding the Fourth Proportional to 1,267.05, 1,747.15 and 824.13

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Solution

The fourth proportional to 1,267.05, 1,747.15 and 824.13 is: 1,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.05 : 1,747.15 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,267.05/1,747.15 = 824.13/x
  3. Step 3: Cross multiply
    1,267.05x = 1,747.15 × 824.13
  4. Step 4: Simplify right side
    1,267.05x = 1,439,882.97
  5. Step 5: Solve for x
    x = 1,439,882.97/1,267.05
  6. Step 6: Final answer
    x = 1,136.40

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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.