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Finding the Fourth Proportional to 649.74, 896.22 and 566.76

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Solution

The fourth proportional to 649.74, 896.22 and 566.76 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.74 : 896.22 = 566.76 : x
  2. Step 2: Convert to fraction form
    649.74/896.22 = 566.76/x
  3. Step 3: Cross multiply
    649.74x = 896.22 × 566.76
  4. Step 4: Simplify right side
    649.74x = 507,941.65
  5. Step 5: Solve for x
    x = 507,941.65/649.74
  6. Step 6: Final answer
    x = 781.76

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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.