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Finding the Fourth Proportional to 979.20, 1,348.98 and 838.86

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Solution

The fourth proportional to 979.20, 1,348.98 and 838.86 is: 1,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.20 : 1,348.98 = 838.86 : x
  2. Step 2: Convert to fraction form
    979.20/1,348.98 = 838.86/x
  3. Step 3: Cross multiply
    979.20x = 1,348.98 × 838.86
  4. Step 4: Simplify right side
    979.20x = 1,131,605.36
  5. Step 5: Solve for x
    x = 1,131,605.36/979.20
  6. Step 6: Final answer
    x = 1,155.64

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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.