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Finding the Fourth Proportional to 821.35, 1,133.57 and 522.62

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Solution

The fourth proportional to 821.35, 1,133.57 and 522.62 is: 721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.35 : 1,133.57 = 522.62 : x
  2. Step 2: Convert to fraction form
    821.35/1,133.57 = 522.62/x
  3. Step 3: Cross multiply
    821.35x = 1,133.57 × 522.62
  4. Step 4: Simplify right side
    821.35x = 592,428.53
  5. Step 5: Solve for x
    x = 592,428.53/821.35
  6. Step 6: Final answer
    x = 721.29

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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.