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Finding the Fourth Proportional to 886.18, 1,224.08 and 675.07

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Solution

The fourth proportional to 886.18, 1,224.08 and 675.07 is: 932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.18 : 1,224.08 = 675.07 : x
  2. Step 2: Convert to fraction form
    886.18/1,224.08 = 675.07/x
  3. Step 3: Cross multiply
    886.18x = 1,224.08 × 675.07
  4. Step 4: Simplify right side
    886.18x = 826,339.69
  5. Step 5: Solve for x
    x = 826,339.69/886.18
  6. Step 6: Final answer
    x = 932.47

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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.