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Finding the Fourth Proportional to 884.18, 1,332.88 and 824.71

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Solution

The fourth proportional to 884.18, 1,332.88 and 824.71 is: 1,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.18 : 1,332.88 = 824.71 : x
  2. Step 2: Convert to fraction form
    884.18/1,332.88 = 824.71/x
  3. Step 3: Cross multiply
    884.18x = 1,332.88 × 824.71
  4. Step 4: Simplify right side
    884.18x = 1,099,237.16
  5. Step 5: Solve for x
    x = 1,099,237.16/884.18
  6. Step 6: Final answer
    x = 1,243.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.