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Finding the Fourth Proportional to 1,765.59, 2,647.77 and 725.30

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Solution

The fourth proportional to 1,765.59, 2,647.77 and 725.30 is: 1,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.59 : 2,647.77 = 725.30 : x
  2. Step 2: Convert to fraction form
    1,765.59/2,647.77 = 725.30/x
  3. Step 3: Cross multiply
    1,765.59x = 2,647.77 × 725.30
  4. Step 4: Simplify right side
    1,765.59x = 1,920,414.34
  5. Step 5: Solve for x
    x = 1,920,414.34/1,765.59
  6. Step 6: Final answer
    x = 1,087.69

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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.