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Finding the Fourth Proportional to 1,319.82, 1,979.71 and 498.15

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Solution

The fourth proportional to 1,319.82, 1,979.71 and 498.15 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.82 : 1,979.71 = 498.15 : x
  2. Step 2: Convert to fraction form
    1,319.82/1,979.71 = 498.15/x
  3. Step 3: Cross multiply
    1,319.82x = 1,979.71 × 498.15
  4. Step 4: Simplify right side
    1,319.82x = 986,192.54
  5. Step 5: Solve for x
    x = 986,192.54/1,319.82
  6. Step 6: Final answer
    x = 747.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.