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Finding the Fourth Proportional to 766.53, 1,057.23 and 580.05

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Solution

The fourth proportional to 766.53, 1,057.23 and 580.05 is: 800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.53 : 1,057.23 = 580.05 : x
  2. Step 2: Convert to fraction form
    766.53/1,057.23 = 580.05/x
  3. Step 3: Cross multiply
    766.53x = 1,057.23 × 580.05
  4. Step 4: Simplify right side
    766.53x = 613,246.26
  5. Step 5: Solve for x
    x = 613,246.26/766.53
  6. Step 6: Final answer
    x = 800.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.