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Finding the Fourth Proportional to 1,706.63, 2,559.38 and 552.11

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Solution

The fourth proportional to 1,706.63, 2,559.38 and 552.11 is: 827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.63 : 2,559.38 = 552.11 : x
  2. Step 2: Convert to fraction form
    1,706.63/2,559.38 = 552.11/x
  3. Step 3: Cross multiply
    1,706.63x = 2,559.38 × 552.11
  4. Step 4: Simplify right side
    1,706.63x = 1,413,043.73
  5. Step 5: Solve for x
    x = 1,413,043.73/1,706.63
  6. Step 6: Final answer
    x = 827.98

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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.