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Finding the Fourth Proportional to 823.84, 1,234.71 and 802.31

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Solution

The fourth proportional to 823.84, 1,234.71 and 802.31 is: 1,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.84 : 1,234.71 = 802.31 : x
  2. Step 2: Convert to fraction form
    823.84/1,234.71 = 802.31/x
  3. Step 3: Cross multiply
    823.84x = 1,234.71 × 802.31
  4. Step 4: Simplify right side
    823.84x = 990,614.01
  5. Step 5: Solve for x
    x = 990,614.01/823.84
  6. Step 6: Final answer
    x = 1,202.44

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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.