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Finding the Fourth Proportional to 877.43, 1,316.15 and 823.97

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Solution

The fourth proportional to 877.43, 1,316.15 and 823.97 is: 1,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.43 : 1,316.15 = 823.97 : x
  2. Step 2: Convert to fraction form
    877.43/1,316.15 = 823.97/x
  3. Step 3: Cross multiply
    877.43x = 1,316.15 × 823.97
  4. Step 4: Simplify right side
    877.43x = 1,084,470.38
  5. Step 5: Solve for x
    x = 1,084,470.38/877.43
  6. Step 6: Final answer
    x = 1,235.96

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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.