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Finding the Fourth Proportional to 693.49, 956.35 and 535.87

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Solution

The fourth proportional to 693.49, 956.35 and 535.87 is: 738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.49 : 956.35 = 535.87 : x
  2. Step 2: Convert to fraction form
    693.49/956.35 = 535.87/x
  3. Step 3: Cross multiply
    693.49x = 956.35 × 535.87
  4. Step 4: Simplify right side
    693.49x = 512,479.27
  5. Step 5: Solve for x
    x = 512,479.27/693.49
  6. Step 6: Final answer
    x = 738.99

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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.