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Finding the Fourth Proportional to 693.57, 1,040.36 and 260.76

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Solution

The fourth proportional to 693.57, 1,040.36 and 260.76 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.57 : 1,040.36 = 260.76 : x
  2. Step 2: Convert to fraction form
    693.57/1,040.36 = 260.76/x
  3. Step 3: Cross multiply
    693.57x = 1,040.36 × 260.76
  4. Step 4: Simplify right side
    693.57x = 271,282.97
  5. Step 5: Solve for x
    x = 271,282.97/693.57
  6. Step 6: Final answer
    x = 391.14

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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.