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Finding the Fourth Proportional to 693.84, 1,040.29 and 260.63

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Solution

The fourth proportional to 693.84, 1,040.29 and 260.63 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 1,040.29 = 260.63 : x
  2. Step 2: Convert to fraction form
    693.84/1,040.29 = 260.63/x
  3. Step 3: Cross multiply
    693.84x = 1,040.29 × 260.63
  4. Step 4: Simplify right side
    693.84x = 271,124.93
  5. Step 5: Solve for x
    x = 271,124.93/693.84
  6. Step 6: Final answer
    x = 390.76

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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.