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Finding the Fourth Proportional to 1,279.08, 1,766.90 and 988.02

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Solution

The fourth proportional to 1,279.08, 1,766.90 and 988.02 is: 1,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.08 : 1,766.90 = 988.02 : x
  2. Step 2: Convert to fraction form
    1,279.08/1,766.90 = 988.02/x
  3. Step 3: Cross multiply
    1,279.08x = 1,766.90 × 988.02
  4. Step 4: Simplify right side
    1,279.08x = 1,745,727.60
  5. Step 5: Solve for x
    x = 1,745,727.60/1,279.08
  6. Step 6: Final answer
    x = 1,364.83

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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.