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Finding the Fourth Proportional to 1,310.30, 1,809.06 and 868.80

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Solution

The fourth proportional to 1,310.30, 1,809.06 and 868.80 is: 1,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.30 : 1,809.06 = 868.80 : x
  2. Step 2: Convert to fraction form
    1,310.30/1,809.06 = 868.80/x
  3. Step 3: Cross multiply
    1,310.30x = 1,809.06 × 868.80
  4. Step 4: Simplify right side
    1,310.30x = 1,571,711.33
  5. Step 5: Solve for x
    x = 1,571,711.33/1,310.30
  6. Step 6: Final answer
    x = 1,199.50

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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.