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Finding the Fourth Proportional to 877.27, 1,211.67 and 712.33

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Solution

The fourth proportional to 877.27, 1,211.67 and 712.33 is: 983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.27 : 1,211.67 = 712.33 : x
  2. Step 2: Convert to fraction form
    877.27/1,211.67 = 712.33/x
  3. Step 3: Cross multiply
    877.27x = 1,211.67 × 712.33
  4. Step 4: Simplify right side
    877.27x = 863,108.89
  5. Step 5: Solve for x
    x = 863,108.89/877.27
  6. Step 6: Final answer
    x = 983.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.