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Finding the Fourth Proportional to 894.84, 1,235.82 and 821.13

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Solution

The fourth proportional to 894.84, 1,235.82 and 821.13 is: 1,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.84 : 1,235.82 = 821.13 : x
  2. Step 2: Convert to fraction form
    894.84/1,235.82 = 821.13/x
  3. Step 3: Cross multiply
    894.84x = 1,235.82 × 821.13
  4. Step 4: Simplify right side
    894.84x = 1,014,768.88
  5. Step 5: Solve for x
    x = 1,014,768.88/894.84
  6. Step 6: Final answer
    x = 1,134.02

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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.