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Finding the Fourth Proportional to 1,319.96, 1,979.40 and 395.18

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Solution

The fourth proportional to 1,319.96, 1,979.40 and 395.18 is: 592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.96 : 1,979.40 = 395.18 : x
  2. Step 2: Convert to fraction form
    1,319.96/1,979.40 = 395.18/x
  3. Step 3: Cross multiply
    1,319.96x = 1,979.40 × 395.18
  4. Step 4: Simplify right side
    1,319.96x = 782,219.29
  5. Step 5: Solve for x
    x = 782,219.29/1,319.96
  6. Step 6: Final answer
    x = 592.61

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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.