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Finding the Fourth Proportional to 1,226.58, 1,839.87 and 862.99

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Solution

The fourth proportional to 1,226.58, 1,839.87 and 862.99 is: 1,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.58 : 1,839.87 = 862.99 : x
  2. Step 2: Convert to fraction form
    1,226.58/1,839.87 = 862.99/x
  3. Step 3: Cross multiply
    1,226.58x = 1,839.87 × 862.99
  4. Step 4: Simplify right side
    1,226.58x = 1,587,789.41
  5. Step 5: Solve for x
    x = 1,587,789.41/1,226.58
  6. Step 6: Final answer
    x = 1,294.49

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1.5x scale

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.