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Finding the Fourth Proportional to 821.84, 1,133.49 and 527.13

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Solution

The fourth proportional to 821.84, 1,133.49 and 527.13 is: 727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.84 : 1,133.49 = 527.13 : x
  2. Step 2: Convert to fraction form
    821.84/1,133.49 = 527.13/x
  3. Step 3: Cross multiply
    821.84x = 1,133.49 × 527.13
  4. Step 4: Simplify right side
    821.84x = 597,496.58
  5. Step 5: Solve for x
    x = 597,496.58/821.84
  6. Step 6: Final answer
    x = 727.02

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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.