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Finding the Fourth Proportional to 887.48, 1,323.40 and 825.92

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Solution

The fourth proportional to 887.48, 1,323.40 and 825.92 is: 1,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.48 : 1,323.40 = 825.92 : x
  2. Step 2: Convert to fraction form
    887.48/1,323.40 = 825.92/x
  3. Step 3: Cross multiply
    887.48x = 1,323.40 × 825.92
  4. Step 4: Simplify right side
    887.48x = 1,093,022.53
  5. Step 5: Solve for x
    x = 1,093,022.53/887.48
  6. Step 6: Final answer
    x = 1,231.60

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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.