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Finding the Fourth Proportional to 886, 1,222.68 and 575.50

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Solution

The fourth proportional to 886, 1,222.68 and 575.50 is: 794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    886 : 1,222.68 = 575.50 : x
  2. Step 2: Convert to fraction form
    886/1,222.68 = 575.50/x
  3. Step 3: Cross multiply
    886x = 1,222.68 × 575.50
  4. Step 4: Simplify right side
    886x = 703,652.34
  5. Step 5: Solve for x
    x = 703,652.34/886
  6. Step 6: Final answer
    x = 794.19

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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.