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Finding the Fourth Proportional to 952.30, 1,426.59 and 849.10

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Solution

The fourth proportional to 952.30, 1,426.59 and 849.10 is: 1,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.30 : 1,426.59 = 849.10 : x
  2. Step 2: Convert to fraction form
    952.30/1,426.59 = 849.10/x
  3. Step 3: Cross multiply
    952.30x = 1,426.59 × 849.10
  4. Step 4: Simplify right side
    952.30x = 1,211,317.57
  5. Step 5: Solve for x
    x = 1,211,317.57/952.30
  6. Step 6: Final answer
    x = 1,271.99

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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.