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Finding the Fourth Proportional to 813.21, 1,120.37 and 560.89

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Solution

The fourth proportional to 813.21, 1,120.37 and 560.89 is: 772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.21 : 1,120.37 = 560.89 : x
  2. Step 2: Convert to fraction form
    813.21/1,120.37 = 560.89/x
  3. Step 3: Cross multiply
    813.21x = 1,120.37 × 560.89
  4. Step 4: Simplify right side
    813.21x = 628,401.45
  5. Step 5: Solve for x
    x = 628,401.45/813.21
  6. Step 6: Final answer
    x = 772.75

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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.