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Finding the Fourth Proportional to 1,319.97, 1,980.39 and 498.31

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Solution

The fourth proportional to 1,319.97, 1,980.39 and 498.31 is: 747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.97 : 1,980.39 = 498.31 : x
  2. Step 2: Convert to fraction form
    1,319.97/1,980.39 = 498.31/x
  3. Step 3: Cross multiply
    1,319.97x = 1,980.39 × 498.31
  4. Step 4: Simplify right side
    1,319.97x = 986,854.80
  5. Step 5: Solve for x
    x = 986,854.80/1,319.97
  6. Step 6: Final answer
    x = 747.64

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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.