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Finding the Fourth Proportional to 1,061.76, 1,589.76 and 816.32

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Solution

The fourth proportional to 1,061.76, 1,589.76 and 816.32 is: 1,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.76 : 1,589.76 = 816.32 : x
  2. Step 2: Convert to fraction form
    1,061.76/1,589.76 = 816.32/x
  3. Step 3: Cross multiply
    1,061.76x = 1,589.76 × 816.32
  4. Step 4: Simplify right side
    1,061.76x = 1,297,752.88
  5. Step 5: Solve for x
    x = 1,297,752.88/1,061.76
  6. Step 6: Final answer
    x = 1,222.27

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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.