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Finding the Fourth Proportional to 886.02, 1,222.85 and 638.16

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Solution

The fourth proportional to 886.02, 1,222.85 and 638.16 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.02 : 1,222.85 = 638.16 : x
  2. Step 2: Convert to fraction form
    886.02/1,222.85 = 638.16/x
  3. Step 3: Cross multiply
    886.02x = 1,222.85 × 638.16
  4. Step 4: Simplify right side
    886.02x = 780,373.96
  5. Step 5: Solve for x
    x = 780,373.96/886.02
  6. Step 6: Final answer
    x = 880.76

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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.