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Finding the Fourth Proportional to 1,069.53, 1,604.69 and 521.57

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Solution

The fourth proportional to 1,069.53, 1,604.69 and 521.57 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.53 : 1,604.69 = 521.57 : x
  2. Step 2: Convert to fraction form
    1,069.53/1,604.69 = 521.57/x
  3. Step 3: Cross multiply
    1,069.53x = 1,604.69 × 521.57
  4. Step 4: Simplify right side
    1,069.53x = 836,947.53
  5. Step 5: Solve for x
    x = 836,947.53/1,069.53
  6. Step 6: Final answer
    x = 782.54

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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.