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Finding the Fourth Proportional to 888.48, 1,223.54 and 885.78

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Solution

The fourth proportional to 888.48, 1,223.54 and 885.78 is: 1,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.48 : 1,223.54 = 885.78 : x
  2. Step 2: Convert to fraction form
    888.48/1,223.54 = 885.78/x
  3. Step 3: Cross multiply
    888.48x = 1,223.54 × 885.78
  4. Step 4: Simplify right side
    888.48x = 1,083,787.26
  5. Step 5: Solve for x
    x = 1,083,787.26/888.48
  6. Step 6: Final answer
    x = 1,219.82

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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.