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Finding the Fourth Proportional to 649.96, 896.34 and 562.12

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Solution

The fourth proportional to 649.96, 896.34 and 562.12 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 896.34 = 562.12 : x
  2. Step 2: Convert to fraction form
    649.96/896.34 = 562.12/x
  3. Step 3: Cross multiply
    649.96x = 896.34 × 562.12
  4. Step 4: Simplify right side
    649.96x = 503,850.64
  5. Step 5: Solve for x
    x = 503,850.64/649.96
  6. Step 6: Final answer
    x = 775.20

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