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Finding the Fourth Proportional to 1,706.81, 2,560.63 and 552.56

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Solution

The fourth proportional to 1,706.81, 2,560.63 and 552.56 is: 828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.81 : 2,560.63 = 552.56 : x
  2. Step 2: Convert to fraction form
    1,706.81/2,560.63 = 552.56/x
  3. Step 3: Cross multiply
    1,706.81x = 2,560.63 × 552.56
  4. Step 4: Simplify right side
    1,706.81x = 1,414,905.35
  5. Step 5: Solve for x
    x = 1,414,905.35/1,706.81
  6. Step 6: Final answer
    x = 828.98

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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.