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Finding the Fourth Proportional to 1,319.65, 1,979.43 and 345.75

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Solution

The fourth proportional to 1,319.65, 1,979.43 and 345.75 is: 518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.65 : 1,979.43 = 345.75 : x
  2. Step 2: Convert to fraction form
    1,319.65/1,979.43 = 345.75/x
  3. Step 3: Cross multiply
    1,319.65x = 1,979.43 × 345.75
  4. Step 4: Simplify right side
    1,319.65x = 684,387.92
  5. Step 5: Solve for x
    x = 684,387.92/1,319.65
  6. Step 6: Final answer
    x = 518.61

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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.