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Finding the Fourth Proportional to 952.05, 1,426.22 and 848.85

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Solution

The fourth proportional to 952.05, 1,426.22 and 848.85 is: 1,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.05 : 1,426.22 = 848.85 : x
  2. Step 2: Convert to fraction form
    952.05/1,426.22 = 848.85/x
  3. Step 3: Cross multiply
    952.05x = 1,426.22 × 848.85
  4. Step 4: Simplify right side
    952.05x = 1,210,642.60
  5. Step 5: Solve for x
    x = 1,210,642.60/952.05
  6. Step 6: Final answer
    x = 1,271.62

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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.