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Finding the Fourth Proportional to 1,706.14, 2,559.22 and 520.19

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Solution

The fourth proportional to 1,706.14, 2,559.22 and 520.19 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.14 : 2,559.22 = 520.19 : x
  2. Step 2: Convert to fraction form
    1,706.14/2,559.22 = 520.19/x
  3. Step 3: Cross multiply
    1,706.14x = 2,559.22 × 520.19
  4. Step 4: Simplify right side
    1,706.14x = 1,331,285.75
  5. Step 5: Solve for x
    x = 1,331,285.75/1,706.14
  6. Step 6: Final answer
    x = 780.29

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Why These Related Problems?

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