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Finding the Fourth Proportional to 685.96, 1,029.77 and 571.80

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Solution

The fourth proportional to 685.96, 1,029.77 and 571.80 is: 858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.96 : 1,029.77 = 571.80 : x
  2. Step 2: Convert to fraction form
    685.96/1,029.77 = 571.80/x
  3. Step 3: Cross multiply
    685.96x = 1,029.77 × 571.80
  4. Step 4: Simplify right side
    685.96x = 588,823.92
  5. Step 5: Solve for x
    x = 588,823.92/685.96
  6. Step 6: Final answer
    x = 858.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.