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Finding the Fourth Proportional to 952.83, 1,426.41 and 586.44

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Solution

The fourth proportional to 952.83, 1,426.41 and 586.44 is: 877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.83 : 1,426.41 = 586.44 : x
  2. Step 2: Convert to fraction form
    952.83/1,426.41 = 586.44/x
  3. Step 3: Cross multiply
    952.83x = 1,426.41 × 586.44
  4. Step 4: Simplify right side
    952.83x = 836,503.88
  5. Step 5: Solve for x
    x = 836,503.88/952.83
  6. Step 6: Final answer
    x = 877.92

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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.