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Finding the Fourth Proportional to 1,319.92, 1,979.84 and 498.16

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Solution

The fourth proportional to 1,319.92, 1,979.84 and 498.16 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.92 : 1,979.84 = 498.16 : x
  2. Step 2: Convert to fraction form
    1,319.92/1,979.84 = 498.16/x
  3. Step 3: Cross multiply
    1,319.92x = 1,979.84 × 498.16
  4. Step 4: Simplify right side
    1,319.92x = 986,277.09
  5. Step 5: Solve for x
    x = 986,277.09/1,319.92
  6. Step 6: Final answer
    x = 747.22

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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.