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Finding the Fourth Proportional to 685.56, 945.87 and 528.36

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Solution

The fourth proportional to 685.56, 945.87 and 528.36 is: 728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 945.87 = 528.36 : x
  2. Step 2: Convert to fraction form
    685.56/945.87 = 528.36/x
  3. Step 3: Cross multiply
    685.56x = 945.87 × 528.36
  4. Step 4: Simplify right side
    685.56x = 499,759.87
  5. Step 5: Solve for x
    x = 499,759.87/685.56
  6. Step 6: Final answer
    x = 728.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.