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Finding the Fourth Proportional to 1,279.95, 1,919.96 and 499.92

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Solution

The fourth proportional to 1,279.95, 1,919.96 and 499.92 is: 749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.95 : 1,919.96 = 499.92 : x
  2. Step 2: Convert to fraction form
    1,279.95/1,919.96 = 499.92/x
  3. Step 3: Cross multiply
    1,279.95x = 1,919.96 × 499.92
  4. Step 4: Simplify right side
    1,279.95x = 959,827.65
  5. Step 5: Solve for x
    x = 959,827.65/1,279.95
  6. Step 6: Final answer
    x = 749.89

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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.