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Finding the Fourth Proportional to 1,279.41, 1,916.41 and 586.65

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Solution

The fourth proportional to 1,279.41, 1,916.41 and 586.65 is: 878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.41 : 1,916.41 = 586.65 : x
  2. Step 2: Convert to fraction form
    1,279.41/1,916.41 = 586.65/x
  3. Step 3: Cross multiply
    1,279.41x = 1,916.41 × 586.65
  4. Step 4: Simplify right side
    1,279.41x = 1,124,261.93
  5. Step 5: Solve for x
    x = 1,124,261.93/1,279.41
  6. Step 6: Final answer
    x = 878.73

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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.