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Finding the Fourth Proportional to 1,294.80, 1,786.24 and 853.24

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Solution

The fourth proportional to 1,294.80, 1,786.24 and 853.24 is: 1,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.80 : 1,786.24 = 853.24 : x
  2. Step 2: Convert to fraction form
    1,294.80/1,786.24 = 853.24/x
  3. Step 3: Cross multiply
    1,294.80x = 1,786.24 × 853.24
  4. Step 4: Simplify right side
    1,294.80x = 1,524,091.42
  5. Step 5: Solve for x
    x = 1,524,091.42/1,294.80
  6. Step 6: Final answer
    x = 1,177.09

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1.5x scale

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.