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Finding the Fourth Proportional to 823.33, 1,228.01 and 694.18

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Solution

The fourth proportional to 823.33, 1,228.01 and 694.18 is: 1,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.33 : 1,228.01 = 694.18 : x
  2. Step 2: Convert to fraction form
    823.33/1,228.01 = 694.18/x
  3. Step 3: Cross multiply
    823.33x = 1,228.01 × 694.18
  4. Step 4: Simplify right side
    823.33x = 852,459.98
  5. Step 5: Solve for x
    x = 852,459.98/823.33
  6. Step 6: Final answer
    x = 1,035.38

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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.