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Finding the Fourth Proportional to 860.13, 1,290.96 and 566.81

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Solution

The fourth proportional to 860.13, 1,290.96 and 566.81 is: 850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.13 : 1,290.96 = 566.81 : x
  2. Step 2: Convert to fraction form
    860.13/1,290.96 = 566.81/x
  3. Step 3: Cross multiply
    860.13x = 1,290.96 × 566.81
  4. Step 4: Simplify right side
    860.13x = 731,727.42
  5. Step 5: Solve for x
    x = 731,727.42/860.13
  6. Step 6: Final answer
    x = 850.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.