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Finding the Fourth Proportional to 1,706.09, 2,559.14 and 551.93

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Solution

The fourth proportional to 1,706.09, 2,559.14 and 551.93 is: 827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.09 : 2,559.14 = 551.93 : x
  2. Step 2: Convert to fraction form
    1,706.09/2,559.14 = 551.93/x
  3. Step 3: Cross multiply
    1,706.09x = 2,559.14 × 551.93
  4. Step 4: Simplify right side
    1,706.09x = 1,412,463.38
  5. Step 5: Solve for x
    x = 1,412,463.38/1,706.09
  6. Step 6: Final answer
    x = 827.90

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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.