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Finding the Fourth Proportional to 1,069.50, 1,475.92 and 649.82

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Solution

The fourth proportional to 1,069.50, 1,475.92 and 649.82 is: 896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.50 : 1,475.92 = 649.82 : x
  2. Step 2: Convert to fraction form
    1,069.50/1,475.92 = 649.82/x
  3. Step 3: Cross multiply
    1,069.50x = 1,475.92 × 649.82
  4. Step 4: Simplify right side
    1,069.50x = 959,086.84
  5. Step 5: Solve for x
    x = 959,086.84/1,069.50
  6. Step 6: Final answer
    x = 896.76

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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.