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Finding the Fourth Proportional to 886.88, 1,224.32 and 588.60

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Solution

The fourth proportional to 886.88, 1,224.32 and 588.60 is: 812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.88 : 1,224.32 = 588.60 : x
  2. Step 2: Convert to fraction form
    886.88/1,224.32 = 588.60/x
  3. Step 3: Cross multiply
    886.88x = 1,224.32 × 588.60
  4. Step 4: Simplify right side
    886.88x = 720,631.81
  5. Step 5: Solve for x
    x = 720,631.81/886.88
  6. Step 6: Final answer
    x = 812.54

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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.