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Finding the Fourth Proportional to 1,193.54, 1,648.34 and 821.48

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Solution

The fourth proportional to 1,193.54, 1,648.34 and 821.48 is: 1,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.54 : 1,648.34 = 821.48 : x
  2. Step 2: Convert to fraction form
    1,193.54/1,648.34 = 821.48/x
  3. Step 3: Cross multiply
    1,193.54x = 1,648.34 × 821.48
  4. Step 4: Simplify right side
    1,193.54x = 1,354,082.46
  5. Step 5: Solve for x
    x = 1,354,082.46/1,193.54
  6. Step 6: Final answer
    x = 1,134.51

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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.