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Finding the Fourth Proportional to 952.41, 1,421.73 and 823.24

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Solution

The fourth proportional to 952.41, 1,421.73 and 823.24 is: 1,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.41 : 1,421.73 = 823.24 : x
  2. Step 2: Convert to fraction form
    952.41/1,421.73 = 823.24/x
  3. Step 3: Cross multiply
    952.41x = 1,421.73 × 823.24
  4. Step 4: Simplify right side
    952.41x = 1,170,425.01
  5. Step 5: Solve for x
    x = 1,170,425.01/952.41
  6. Step 6: Final answer
    x = 1,228.91

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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.