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Finding the Fourth Proportional to 1,061.08, 1,592.16 and 774.88

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Solution

The fourth proportional to 1,061.08, 1,592.16 and 774.88 is: 1,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.08 : 1,592.16 = 774.88 : x
  2. Step 2: Convert to fraction form
    1,061.08/1,592.16 = 774.88/x
  3. Step 3: Cross multiply
    1,061.08x = 1,592.16 × 774.88
  4. Step 4: Simplify right side
    1,061.08x = 1,233,732.94
  5. Step 5: Solve for x
    x = 1,233,732.94/1,061.08
  6. Step 6: Final answer
    x = 1,162.71

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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.