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Finding the Fourth Proportional to 772.56, 1,159.54 and 690.17

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Solution

The fourth proportional to 772.56, 1,159.54 and 690.17 is: 1,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.56 : 1,159.54 = 690.17 : x
  2. Step 2: Convert to fraction form
    772.56/1,159.54 = 690.17/x
  3. Step 3: Cross multiply
    772.56x = 1,159.54 × 690.17
  4. Step 4: Simplify right side
    772.56x = 800,272.20
  5. Step 5: Solve for x
    x = 800,272.20/772.56
  6. Step 6: Final answer
    x = 1,035.87

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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.