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Finding the Fourth Proportional to 1,319.75, 1,979.73 and 345.85

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Solution

The fourth proportional to 1,319.75, 1,979.73 and 345.85 is: 518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.75 : 1,979.73 = 345.85 : x
  2. Step 2: Convert to fraction form
    1,319.75/1,979.73 = 345.85/x
  3. Step 3: Cross multiply
    1,319.75x = 1,979.73 × 345.85
  4. Step 4: Simplify right side
    1,319.75x = 684,684.67
  5. Step 5: Solve for x
    x = 684,684.67/1,319.75
  6. Step 6: Final answer
    x = 518.80

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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.