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Finding the Fourth Proportional to 693.45, 1,039.82 and 260.55

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Solution

The fourth proportional to 693.45, 1,039.82 and 260.55 is: 390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.45 : 1,039.82 = 260.55 : x
  2. Step 2: Convert to fraction form
    693.45/1,039.82 = 260.55/x
  3. Step 3: Cross multiply
    693.45x = 1,039.82 × 260.55
  4. Step 4: Simplify right side
    693.45x = 270,923.80
  5. Step 5: Solve for x
    x = 270,923.80/693.45
  6. Step 6: Final answer
    x = 390.69

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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.