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Finding the Fourth Proportional to 1,299.78, 1,948.32 and 811.71

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Solution

The fourth proportional to 1,299.78, 1,948.32 and 811.71 is: 1,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.78 : 1,948.32 = 811.71 : x
  2. Step 2: Convert to fraction form
    1,299.78/1,948.32 = 811.71/x
  3. Step 3: Cross multiply
    1,299.78x = 1,948.32 × 811.71
  4. Step 4: Simplify right side
    1,299.78x = 1,581,470.83
  5. Step 5: Solve for x
    x = 1,581,470.83/1,299.78
  6. Step 6: Final answer
    x = 1,216.72

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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.