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Finding the Fourth Proportional to 887.43, 1,337.90 and 824.79

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Solution

The fourth proportional to 887.43, 1,337.90 and 824.79 is: 1,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.43 : 1,337.90 = 824.79 : x
  2. Step 2: Convert to fraction form
    887.43/1,337.90 = 824.79/x
  3. Step 3: Cross multiply
    887.43x = 1,337.90 × 824.79
  4. Step 4: Simplify right side
    887.43x = 1,103,488.60
  5. Step 5: Solve for x
    x = 1,103,488.60/887.43
  6. Step 6: Final answer
    x = 1,243.47

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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.