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Finding the Fourth Proportional to 823.47, 1,135.73 and 699.54

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Solution

The fourth proportional to 823.47, 1,135.73 and 699.54 is: 964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.47 : 1,135.73 = 699.54 : x
  2. Step 2: Convert to fraction form
    823.47/1,135.73 = 699.54/x
  3. Step 3: Cross multiply
    823.47x = 1,135.73 × 699.54
  4. Step 4: Simplify right side
    823.47x = 794,490.31
  5. Step 5: Solve for x
    x = 794,490.31/823.47
  6. Step 6: Final answer
    x = 964.81

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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.