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Finding the Fourth Proportional to 1,706.96, 2,560.56 and 474.56

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Solution

The fourth proportional to 1,706.96, 2,560.56 and 474.56 is: 711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.96 : 2,560.56 = 474.56 : x
  2. Step 2: Convert to fraction form
    1,706.96/2,560.56 = 474.56/x
  3. Step 3: Cross multiply
    1,706.96x = 2,560.56 × 474.56
  4. Step 4: Simplify right side
    1,706.96x = 1,215,139.35
  5. Step 5: Solve for x
    x = 1,215,139.35/1,706.96
  6. Step 6: Final answer
    x = 711.87

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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.