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Finding the Fourth Proportional to 1,705.75, 2,559.03 and 551.50

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Solution

The fourth proportional to 1,705.75, 2,559.03 and 551.50 is: 827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.75 : 2,559.03 = 551.50 : x
  2. Step 2: Convert to fraction form
    1,705.75/2,559.03 = 551.50/x
  3. Step 3: Cross multiply
    1,705.75x = 2,559.03 × 551.50
  4. Step 4: Simplify right side
    1,705.75x = 1,411,305.05
  5. Step 5: Solve for x
    x = 1,411,305.05/1,705.75
  6. Step 6: Final answer
    x = 827.38

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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.