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Finding the Fourth Proportional to 952.86, 1,425.45 and 824.25

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Solution

The fourth proportional to 952.86, 1,425.45 and 824.25 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.86 : 1,425.45 = 824.25 : x
  2. Step 2: Convert to fraction form
    952.86/1,425.45 = 824.25/x
  3. Step 3: Cross multiply
    952.86x = 1,425.45 × 824.25
  4. Step 4: Simplify right side
    952.86x = 1,174,927.16
  5. Step 5: Solve for x
    x = 1,174,927.16/952.86
  6. Step 6: Final answer
    x = 1,233.05

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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.