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Finding the Fourth Proportional to 1,122.90, 1,682.98 and 775.71

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Solution

The fourth proportional to 1,122.90, 1,682.98 and 775.71 is: 1,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.90 : 1,682.98 = 775.71 : x
  2. Step 2: Convert to fraction form
    1,122.90/1,682.98 = 775.71/x
  3. Step 3: Cross multiply
    1,122.90x = 1,682.98 × 775.71
  4. Step 4: Simplify right side
    1,122.90x = 1,305,502.48
  5. Step 5: Solve for x
    x = 1,305,502.48/1,122.90
  6. Step 6: Final answer
    x = 1,162.62

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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.