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Finding the Fourth Proportional to 817.07, 1,226.82 and 802.49

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Solution

The fourth proportional to 817.07, 1,226.82 and 802.49 is: 1,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.07 : 1,226.82 = 802.49 : x
  2. Step 2: Convert to fraction form
    817.07/1,226.82 = 802.49/x
  3. Step 3: Cross multiply
    817.07x = 1,226.82 × 802.49
  4. Step 4: Simplify right side
    817.07x = 984,510.78
  5. Step 5: Solve for x
    x = 984,510.78/817.07
  6. Step 6: Final answer
    x = 1,204.93

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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.