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Finding the Fourth Proportional to 823.23, 1,134 and 657.99

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Solution

The fourth proportional to 823.23, 1,134 and 657.99 is: 906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,134 = 657.99 : x
  2. Step 2: Convert to fraction form
    823.23/1,134 = 657.99/x
  3. Step 3: Cross multiply
    823.23x = 1,134 × 657.99
  4. Step 4: Simplify right side
    823.23x = 746,160.66
  5. Step 5: Solve for x
    x = 746,160.66/823.23
  6. Step 6: Final answer
    x = 906.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.