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Finding the Fourth Proportional to 693.09, 956.82 and 535.37

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Solution

The fourth proportional to 693.09, 956.82 and 535.37 is: 739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.09 : 956.82 = 535.37 : x
  2. Step 2: Convert to fraction form
    693.09/956.82 = 535.37/x
  3. Step 3: Cross multiply
    693.09x = 956.82 × 535.37
  4. Step 4: Simplify right side
    693.09x = 512,253.32
  5. Step 5: Solve for x
    x = 512,253.32/693.09
  6. Step 6: Final answer
    x = 739.08

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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.