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Finding the Fourth Proportional to 1,351.84, 2,027.85 and 571.70

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Solution

The fourth proportional to 1,351.84, 2,027.85 and 571.70 is: 857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.84 : 2,027.85 = 571.70 : x
  2. Step 2: Convert to fraction form
    1,351.84/2,027.85 = 571.70/x
  3. Step 3: Cross multiply
    1,351.84x = 2,027.85 × 571.70
  4. Step 4: Simplify right side
    1,351.84x = 1,159,313.36
  5. Step 5: Solve for x
    x = 1,159,313.36/1,351.84
  6. Step 6: Final answer
    x = 857.58

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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.