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Finding the Fourth Proportional to 1,194.89, 1,647.34 and 821.21

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Solution

The fourth proportional to 1,194.89, 1,647.34 and 821.21 is: 1,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.89 : 1,647.34 = 821.21 : x
  2. Step 2: Convert to fraction form
    1,194.89/1,647.34 = 821.21/x
  3. Step 3: Cross multiply
    1,194.89x = 1,647.34 × 821.21
  4. Step 4: Simplify right side
    1,194.89x = 1,352,801.79
  5. Step 5: Solve for x
    x = 1,352,801.79/1,194.89
  6. Step 6: Final answer
    x = 1,132.16

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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.