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Finding the Fourth Proportional to 693.85, 1,040.30 and 260.63

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Solution

The fourth proportional to 693.85, 1,040.30 and 260.63 is: 390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.85 : 1,040.30 = 260.63 : x
  2. Step 2: Convert to fraction form
    693.85/1,040.30 = 260.63/x
  3. Step 3: Cross multiply
    693.85x = 1,040.30 × 260.63
  4. Step 4: Simplify right side
    693.85x = 271,135.66
  5. Step 5: Solve for x
    x = 271,135.66/693.85
  6. Step 6: Final answer
    x = 390.77

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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.