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Finding the Fourth Proportional to 687.31, 1,029.75 and 571.08

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Solution

The fourth proportional to 687.31, 1,029.75 and 571.08 is: 855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.31 : 1,029.75 = 571.08 : x
  2. Step 2: Convert to fraction form
    687.31/1,029.75 = 571.08/x
  3. Step 3: Cross multiply
    687.31x = 1,029.75 × 571.08
  4. Step 4: Simplify right side
    687.31x = 588,069.63
  5. Step 5: Solve for x
    x = 588,069.63/687.31
  6. Step 6: Final answer
    x = 855.61

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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.