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Finding the Fourth Proportional to 886.56, 1,224.55 and 625.74

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Solution

The fourth proportional to 886.56, 1,224.55 and 625.74 is: 864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.56 : 1,224.55 = 625.74 : x
  2. Step 2: Convert to fraction form
    886.56/1,224.55 = 625.74/x
  3. Step 3: Cross multiply
    886.56x = 1,224.55 × 625.74
  4. Step 4: Simplify right side
    886.56x = 766,249.92
  5. Step 5: Solve for x
    x = 766,249.92/886.56
  6. Step 6: Final answer
    x = 864.30

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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.