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Finding the Fourth Proportional to 649.35, 891.30 and 577.84

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Solution

The fourth proportional to 649.35, 891.30 and 577.84 is: 793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 891.30 = 577.84 : x
  2. Step 2: Convert to fraction form
    649.35/891.30 = 577.84/x
  3. Step 3: Cross multiply
    649.35x = 891.30 × 577.84
  4. Step 4: Simplify right side
    649.35x = 515,028.79
  5. Step 5: Solve for x
    x = 515,028.79/649.35
  6. Step 6: Final answer
    x = 793.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.