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Finding the Fourth Proportional to 561.56, 773.74 and 512.56

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Solution

The fourth proportional to 561.56, 773.74 and 512.56 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.56 : 773.74 = 512.56 : x
  2. Step 2: Convert to fraction form
    561.56/773.74 = 512.56/x
  3. Step 3: Cross multiply
    561.56x = 773.74 × 512.56
  4. Step 4: Simplify right side
    561.56x = 396,588.17
  5. Step 5: Solve for x
    x = 396,588.17/561.56
  6. Step 6: Final answer
    x = 706.23

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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.