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Finding the Fourth Proportional to 1,808.76, 2,713.35 and 575.73

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Solution

The fourth proportional to 1,808.76, 2,713.35 and 575.73 is: 863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.76 : 2,713.35 = 575.73 : x
  2. Step 2: Convert to fraction form
    1,808.76/2,713.35 = 575.73/x
  3. Step 3: Cross multiply
    1,808.76x = 2,713.35 × 575.73
  4. Step 4: Simplify right side
    1,808.76x = 1,562,157.00
  5. Step 5: Solve for x
    x = 1,562,157.00/1,808.76
  6. Step 6: Final answer
    x = 863.66

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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.