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Finding the Fourth Proportional to 564.96, 778.04 and 563.14

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Solution

The fourth proportional to 564.96, 778.04 and 563.14 is: 775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 778.04 = 563.14 : x
  2. Step 2: Convert to fraction form
    564.96/778.04 = 563.14/x
  3. Step 3: Cross multiply
    564.96x = 778.04 × 563.14
  4. Step 4: Simplify right side
    564.96x = 438,145.45
  5. Step 5: Solve for x
    x = 438,145.45/564.96
  6. Step 6: Final answer
    x = 775.53

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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.