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Finding the Fourth Proportional to 886.48, 1,321.91 and 824.92

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Solution

The fourth proportional to 886.48, 1,321.91 and 824.92 is: 1,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,321.91 = 824.92 : x
  2. Step 2: Convert to fraction form
    886.48/1,321.91 = 824.92/x
  3. Step 3: Cross multiply
    886.48x = 1,321.91 × 824.92
  4. Step 4: Simplify right side
    886.48x = 1,090,470.00
  5. Step 5: Solve for x
    x = 1,090,470.00/886.48
  6. Step 6: Final answer
    x = 1,230.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.