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Finding the Fourth Proportional to 564.77, 847.87 and 562.14

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Solution

The fourth proportional to 564.77, 847.87 and 562.14 is: 843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.77 : 847.87 = 562.14 : x
  2. Step 2: Convert to fraction form
    564.77/847.87 = 562.14/x
  3. Step 3: Cross multiply
    564.77x = 847.87 × 562.14
  4. Step 4: Simplify right side
    564.77x = 476,620.24
  5. Step 5: Solve for x
    x = 476,620.24/564.77
  6. Step 6: Final answer
    x = 843.92

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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.