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Finding the Fourth Proportional to 1,552.85, 2,327.58 and 762.76

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Solution

The fourth proportional to 1,552.85, 2,327.58 and 762.76 is: 1,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.85 : 2,327.58 = 762.76 : x
  2. Step 2: Convert to fraction form
    1,552.85/2,327.58 = 762.76/x
  3. Step 3: Cross multiply
    1,552.85x = 2,327.58 × 762.76
  4. Step 4: Simplify right side
    1,552.85x = 1,775,378.23
  5. Step 5: Solve for x
    x = 1,775,378.23/1,552.85
  6. Step 6: Final answer
    x = 1,143.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.