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Finding the Fourth Proportional to 890.80, 1,334.12 and 866.19

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Solution

The fourth proportional to 890.80, 1,334.12 and 866.19 is: 1,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.80 : 1,334.12 = 866.19 : x
  2. Step 2: Convert to fraction form
    890.80/1,334.12 = 866.19/x
  3. Step 3: Cross multiply
    890.80x = 1,334.12 × 866.19
  4. Step 4: Simplify right side
    890.80x = 1,155,606.95
  5. Step 5: Solve for x
    x = 1,155,606.95/890.80
  6. Step 6: Final answer
    x = 1,297.27

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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.