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Finding the Fourth Proportional to 821.91, 1,225.62 and 814.50

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Solution

The fourth proportional to 821.91, 1,225.62 and 814.50 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.91 : 1,225.62 = 814.50 : x
  2. Step 2: Convert to fraction form
    821.91/1,225.62 = 814.50/x
  3. Step 3: Cross multiply
    821.91x = 1,225.62 × 814.50
  4. Step 4: Simplify right side
    821.91x = 998,267.49
  5. Step 5: Solve for x
    x = 998,267.49/821.91
  6. Step 6: Final answer
    x = 1,214.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.