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Finding the Fourth Proportional to 1,319.80, 1,979.68 and 345.88

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Solution

The fourth proportional to 1,319.80, 1,979.68 and 345.88 is: 518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.80 : 1,979.68 = 345.88 : x
  2. Step 2: Convert to fraction form
    1,319.80/1,979.68 = 345.88/x
  3. Step 3: Cross multiply
    1,319.80x = 1,979.68 × 345.88
  4. Step 4: Simplify right side
    1,319.80x = 684,731.72
  5. Step 5: Solve for x
    x = 684,731.72/1,319.80
  6. Step 6: Final answer
    x = 518.81

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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.