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Finding the Fourth Proportional to 887.86, 1,325.30 and 823.62

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Solution

The fourth proportional to 887.86, 1,325.30 and 823.62 is: 1,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.86 : 1,325.30 = 823.62 : x
  2. Step 2: Convert to fraction form
    887.86/1,325.30 = 823.62/x
  3. Step 3: Cross multiply
    887.86x = 1,325.30 × 823.62
  4. Step 4: Simplify right side
    887.86x = 1,091,543.59
  5. Step 5: Solve for x
    x = 1,091,543.59/887.86
  6. Step 6: Final answer
    x = 1,229.41

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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.