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Finding the Fourth Proportional to 1,279.04, 1,919.08 and 701.24

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Solution

The fourth proportional to 1,279.04, 1,919.08 and 701.24 is: 1,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.04 : 1,919.08 = 701.24 : x
  2. Step 2: Convert to fraction form
    1,279.04/1,919.08 = 701.24/x
  3. Step 3: Cross multiply
    1,279.04x = 1,919.08 × 701.24
  4. Step 4: Simplify right side
    1,279.04x = 1,345,735.66
  5. Step 5: Solve for x
    x = 1,345,735.66/1,279.04
  6. Step 6: Final answer
    x = 1,052.15

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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.