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Finding the Fourth Proportional to 886.14, 1,320.17 and 830.25

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Solution

The fourth proportional to 886.14, 1,320.17 and 830.25 is: 1,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,320.17 = 830.25 : x
  2. Step 2: Convert to fraction form
    886.14/1,320.17 = 830.25/x
  3. Step 3: Cross multiply
    886.14x = 1,320.17 × 830.25
  4. Step 4: Simplify right side
    886.14x = 1,096,066.99
  5. Step 5: Solve for x
    x = 1,096,066.99/886.14
  6. Step 6: Final answer
    x = 1,236.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.