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Finding the Fourth Proportional to 821.98, 1,133.56 and 612.67

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Solution

The fourth proportional to 821.98, 1,133.56 and 612.67 is: 844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,133.56 = 612.67 : x
  2. Step 2: Convert to fraction form
    821.98/1,133.56 = 612.67/x
  3. Step 3: Cross multiply
    821.98x = 1,133.56 × 612.67
  4. Step 4: Simplify right side
    821.98x = 694,498.21
  5. Step 5: Solve for x
    x = 694,498.21/821.98
  6. Step 6: Final answer
    x = 844.91

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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.