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Finding the Fourth Proportional to 814.84, 1,223.47 and 802.69

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Solution

The fourth proportional to 814.84, 1,223.47 and 802.69 is: 1,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.84 : 1,223.47 = 802.69 : x
  2. Step 2: Convert to fraction form
    814.84/1,223.47 = 802.69/x
  3. Step 3: Cross multiply
    814.84x = 1,223.47 × 802.69
  4. Step 4: Simplify right side
    814.84x = 982,067.13
  5. Step 5: Solve for x
    x = 982,067.13/814.84
  6. Step 6: Final answer
    x = 1,205.23

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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.