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Finding the Fourth Proportional to 1,279.57, 1,919.71 and 457.93

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Solution

The fourth proportional to 1,279.57, 1,919.71 and 457.93 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.57 : 1,919.71 = 457.93 : x
  2. Step 2: Convert to fraction form
    1,279.57/1,919.71 = 457.93/x
  3. Step 3: Cross multiply
    1,279.57x = 1,919.71 × 457.93
  4. Step 4: Simplify right side
    1,279.57x = 879,092.80
  5. Step 5: Solve for x
    x = 879,092.80/1,279.57
  6. Step 6: Final answer
    x = 687.02

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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.