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Finding the Fourth Proportional to 1,069.17, 1,601.42 and 520.19

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Solution

The fourth proportional to 1,069.17, 1,601.42 and 520.19 is: 779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.17 : 1,601.42 = 520.19 : x
  2. Step 2: Convert to fraction form
    1,069.17/1,601.42 = 520.19/x
  3. Step 3: Cross multiply
    1,069.17x = 1,601.42 × 520.19
  4. Step 4: Simplify right side
    1,069.17x = 833,042.67
  5. Step 5: Solve for x
    x = 833,042.67/1,069.17
  6. Step 6: Final answer
    x = 779.15

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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.