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Finding the Fourth Proportional to 1,729.80, 2,590.65 and 863.10

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Solution

The fourth proportional to 1,729.80, 2,590.65 and 863.10 is: 1,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.80 : 2,590.65 = 863.10 : x
  2. Step 2: Convert to fraction form
    1,729.80/2,590.65 = 863.10/x
  3. Step 3: Cross multiply
    1,729.80x = 2,590.65 × 863.10
  4. Step 4: Simplify right side
    1,729.80x = 2,235,990.02
  5. Step 5: Solve for x
    x = 2,235,990.02/1,729.80
  6. Step 6: Final answer
    x = 1,292.63

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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.