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Finding the Fourth Proportional to 821.94, 1,133.34 and 559.50

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Solution

The fourth proportional to 821.94, 1,133.34 and 559.50 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,133.34 = 559.50 : x
  2. Step 2: Convert to fraction form
    821.94/1,133.34 = 559.50/x
  3. Step 3: Cross multiply
    821.94x = 1,133.34 × 559.50
  4. Step 4: Simplify right side
    821.94x = 634,103.73
  5. Step 5: Solve for x
    x = 634,103.73/821.94
  6. Step 6: Final answer
    x = 771.47

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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.