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Finding the Fourth Proportional to 866.70, 1,306.42 and 816.52

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Solution

The fourth proportional to 866.70, 1,306.42 and 816.52 is: 1,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.70 : 1,306.42 = 816.52 : x
  2. Step 2: Convert to fraction form
    866.70/1,306.42 = 816.52/x
  3. Step 3: Cross multiply
    866.70x = 1,306.42 × 816.52
  4. Step 4: Simplify right side
    866.70x = 1,066,718.06
  5. Step 5: Solve for x
    x = 1,066,718.06/866.70
  6. Step 6: Final answer
    x = 1,230.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.