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Finding the Fourth Proportional to 685.34, 1,027.08 and 377.35

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Solution

The fourth proportional to 685.34, 1,027.08 and 377.35 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.34 : 1,027.08 = 377.35 : x
  2. Step 2: Convert to fraction form
    685.34/1,027.08 = 377.35/x
  3. Step 3: Cross multiply
    685.34x = 1,027.08 × 377.35
  4. Step 4: Simplify right side
    685.34x = 387,563.50
  5. Step 5: Solve for x
    x = 387,563.50/685.34
  6. Step 6: Final answer
    x = 565.51

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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.