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Finding the Fourth Proportional to 821.94, 1,233.99 and 561.12

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Solution

The fourth proportional to 821.94, 1,233.99 and 561.12 is: 842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,233.99 = 561.12 : x
  2. Step 2: Convert to fraction form
    821.94/1,233.99 = 561.12/x
  3. Step 3: Cross multiply
    821.94x = 1,233.99 × 561.12
  4. Step 4: Simplify right side
    821.94x = 692,416.47
  5. Step 5: Solve for x
    x = 692,416.47/821.94
  6. Step 6: Final answer
    x = 842.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.