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Finding the Fourth Proportional to 887.62, 1,224.78 and 592.42

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Solution

The fourth proportional to 887.62, 1,224.78 and 592.42 is: 817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.62 : 1,224.78 = 592.42 : x
  2. Step 2: Convert to fraction form
    887.62/1,224.78 = 592.42/x
  3. Step 3: Cross multiply
    887.62x = 1,224.78 × 592.42
  4. Step 4: Simplify right side
    887.62x = 725,584.17
  5. Step 5: Solve for x
    x = 725,584.17/887.62
  6. Step 6: Final answer
    x = 817.45

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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.