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Finding the Fourth Proportional to 799, 1,102.60 and 577.60

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Solution

The fourth proportional to 799, 1,102.60 and 577.60 is: 797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    799 : 1,102.60 = 577.60 : x
  2. Step 2: Convert to fraction form
    799/1,102.60 = 577.60/x
  3. Step 3: Cross multiply
    799x = 1,102.60 × 577.60
  4. Step 4: Simplify right side
    799x = 636,861.76
  5. Step 5: Solve for x
    x = 636,861.76/799
  6. Step 6: Final answer
    x = 797.07

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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.