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Finding the Fourth Proportional to 697.77, 1,043.82 and 513.90

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Solution

The fourth proportional to 697.77, 1,043.82 and 513.90 is: 768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.77 : 1,043.82 = 513.90 : x
  2. Step 2: Convert to fraction form
    697.77/1,043.82 = 513.90/x
  3. Step 3: Cross multiply
    697.77x = 1,043.82 × 513.90
  4. Step 4: Simplify right side
    697.77x = 536,419.10
  5. Step 5: Solve for x
    x = 536,419.10/697.77
  6. Step 6: Final answer
    x = 768.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.