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Finding the Fourth Proportional to 863.84, 1,294.61 and 315.51

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Solution

The fourth proportional to 863.84, 1,294.61 and 315.51 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,294.61 = 315.51 : x
  2. Step 2: Convert to fraction form
    863.84/1,294.61 = 315.51/x
  3. Step 3: Cross multiply
    863.84x = 1,294.61 × 315.51
  4. Step 4: Simplify right side
    863.84x = 408,462.40
  5. Step 5: Solve for x
    x = 408,462.40/863.84
  6. Step 6: Final answer
    x = 472.84

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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.