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Finding the Fourth Proportional to 1,328.97, 1,833.81 and 824.58

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Solution

The fourth proportional to 1,328.97, 1,833.81 and 824.58 is: 1,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.97 : 1,833.81 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,328.97/1,833.81 = 824.58/x
  3. Step 3: Cross multiply
    1,328.97x = 1,833.81 × 824.58
  4. Step 4: Simplify right side
    1,328.97x = 1,512,123.05
  5. Step 5: Solve for x
    x = 1,512,123.05/1,328.97
  6. Step 6: Final answer
    x = 1,137.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.