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Finding the Fourth Proportional to 886.08, 1,221.84 and 762.16

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Solution

The fourth proportional to 886.08, 1,221.84 and 762.16 is: 1,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.08 : 1,221.84 = 762.16 : x
  2. Step 2: Convert to fraction form
    886.08/1,221.84 = 762.16/x
  3. Step 3: Cross multiply
    886.08x = 1,221.84 × 762.16
  4. Step 4: Simplify right side
    886.08x = 931,237.57
  5. Step 5: Solve for x
    x = 931,237.57/886.08
  6. Step 6: Final answer
    x = 1,050.96

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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.