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Finding the Fourth Proportional to 912.78, 1,367.82 and 837.36

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Solution

The fourth proportional to 912.78, 1,367.82 and 837.36 is: 1,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.78 : 1,367.82 = 837.36 : x
  2. Step 2: Convert to fraction form
    912.78/1,367.82 = 837.36/x
  3. Step 3: Cross multiply
    912.78x = 1,367.82 × 837.36
  4. Step 4: Simplify right side
    912.78x = 1,145,357.76
  5. Step 5: Solve for x
    x = 1,145,357.76/912.78
  6. Step 6: Final answer
    x = 1,254.80

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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.