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Finding the Fourth Proportional to 1,319.91, 1,979.81 and 498.12

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Solution

The fourth proportional to 1,319.91, 1,979.81 and 498.12 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.91 : 1,979.81 = 498.12 : x
  2. Step 2: Convert to fraction form
    1,319.91/1,979.81 = 498.12/x
  3. Step 3: Cross multiply
    1,319.91x = 1,979.81 × 498.12
  4. Step 4: Simplify right side
    1,319.91x = 986,180.47
  5. Step 5: Solve for x
    x = 986,180.47/1,319.91
  6. Step 6: Final answer
    x = 747.16

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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.