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Finding the Fourth Proportional to 685.46, 1,027.70 and 377.46

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Solution

The fourth proportional to 685.46, 1,027.70 and 377.46 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 1,027.70 = 377.46 : x
  2. Step 2: Convert to fraction form
    685.46/1,027.70 = 377.46/x
  3. Step 3: Cross multiply
    685.46x = 1,027.70 × 377.46
  4. Step 4: Simplify right side
    685.46x = 387,915.64
  5. Step 5: Solve for x
    x = 387,915.64/685.46
  6. Step 6: Final answer
    x = 565.92

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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.