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Finding the Fourth Proportional to 952.39, 1,426.50 and 586.07

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Solution

The fourth proportional to 952.39, 1,426.50 and 586.07 is: 877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.39 : 1,426.50 = 586.07 : x
  2. Step 2: Convert to fraction form
    952.39/1,426.50 = 586.07/x
  3. Step 3: Cross multiply
    952.39x = 1,426.50 × 586.07
  4. Step 4: Simplify right side
    952.39x = 836,028.86
  5. Step 5: Solve for x
    x = 836,028.86/952.39
  6. Step 6: Final answer
    x = 877.82

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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.