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Finding the Fourth Proportional to 1,320.20, 1,979.18 and 498.02

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Solution

The fourth proportional to 1,320.20, 1,979.18 and 498.02 is: 746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.20 : 1,979.18 = 498.02 : x
  2. Step 2: Convert to fraction form
    1,320.20/1,979.18 = 498.02/x
  3. Step 3: Cross multiply
    1,320.20x = 1,979.18 × 498.02
  4. Step 4: Simplify right side
    1,320.20x = 985,671.22
  5. Step 5: Solve for x
    x = 985,671.22/1,320.20
  6. Step 6: Final answer
    x = 746.61

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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.