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Finding the Fourth Proportional to 766.99, 1,151.05 and 562.08

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Solution

The fourth proportional to 766.99, 1,151.05 and 562.08 is: 843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.99 : 1,151.05 = 562.08 : x
  2. Step 2: Convert to fraction form
    766.99/1,151.05 = 562.08/x
  3. Step 3: Cross multiply
    766.99x = 1,151.05 × 562.08
  4. Step 4: Simplify right side
    766.99x = 646,982.18
  5. Step 5: Solve for x
    x = 646,982.18/766.99
  6. Step 6: Final answer
    x = 843.53

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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.