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Finding the Fourth Proportional to 912.52, 1,367.52 and 478.82

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Solution

The fourth proportional to 912.52, 1,367.52 and 478.82 is: 717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.52 : 1,367.52 = 478.82 : x
  2. Step 2: Convert to fraction form
    912.52/1,367.52 = 478.82/x
  3. Step 3: Cross multiply
    912.52x = 1,367.52 × 478.82
  4. Step 4: Simplify right side
    912.52x = 654,795.93
  5. Step 5: Solve for x
    x = 654,795.93/912.52
  6. Step 6: Final answer
    x = 717.57

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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.