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Finding the Fourth Proportional to 685.85, 1,029.23 and 565.56

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Solution

The fourth proportional to 685.85, 1,029.23 and 565.56 is: 848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.85 : 1,029.23 = 565.56 : x
  2. Step 2: Convert to fraction form
    685.85/1,029.23 = 565.56/x
  3. Step 3: Cross multiply
    685.85x = 1,029.23 × 565.56
  4. Step 4: Simplify right side
    685.85x = 582,088.49
  5. Step 5: Solve for x
    x = 582,088.49/685.85
  6. Step 6: Final answer
    x = 848.72

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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.