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Finding the Fourth Proportional to 1,319.70, 1,979.57 and 454.02

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Solution

The fourth proportional to 1,319.70, 1,979.57 and 454.02 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.70 : 1,979.57 = 454.02 : x
  2. Step 2: Convert to fraction form
    1,319.70/1,979.57 = 454.02/x
  3. Step 3: Cross multiply
    1,319.70x = 1,979.57 × 454.02
  4. Step 4: Simplify right side
    1,319.70x = 898,764.37
  5. Step 5: Solve for x
    x = 898,764.37/1,319.70
  6. Step 6: Final answer
    x = 681.04

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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.