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Finding the Fourth Proportional to 952.86, 1,428.06 and 942.54

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Solution

The fourth proportional to 952.86, 1,428.06 and 942.54 is: 1,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.86 : 1,428.06 = 942.54 : x
  2. Step 2: Convert to fraction form
    952.86/1,428.06 = 942.54/x
  3. Step 3: Cross multiply
    952.86x = 1,428.06 × 942.54
  4. Step 4: Simplify right side
    952.86x = 1,346,003.67
  5. Step 5: Solve for x
    x = 1,346,003.67/952.86
  6. Step 6: Final answer
    x = 1,412.59

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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.