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Finding the Fourth Proportional to 626.96, 938.52 and 565.00

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Solution

The fourth proportional to 626.96, 938.52 and 565.00 is: 845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.96 : 938.52 = 565.00 : x
  2. Step 2: Convert to fraction form
    626.96/938.52 = 565.00/x
  3. Step 3: Cross multiply
    626.96x = 938.52 × 565.00
  4. Step 4: Simplify right side
    626.96x = 530,256.28
  5. Step 5: Solve for x
    x = 530,256.28/626.96
  6. Step 6: Final answer
    x = 845.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.