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Finding the Fourth Proportional to 1,279.72, 1,919.94 and 458.02

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Solution

The fourth proportional to 1,279.72, 1,919.94 and 458.02 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.72 : 1,919.94 = 458.02 : x
  2. Step 2: Convert to fraction form
    1,279.72/1,919.94 = 458.02/x
  3. Step 3: Cross multiply
    1,279.72x = 1,919.94 × 458.02
  4. Step 4: Simplify right side
    1,279.72x = 879,370.92
  5. Step 5: Solve for x
    x = 879,370.92/1,279.72
  6. Step 6: Final answer
    x = 687.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.