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Finding the Fourth Proportional to 950.52, 1,426.68 and 586.02

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Solution

The fourth proportional to 950.52, 1,426.68 and 586.02 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.52 : 1,426.68 = 586.02 : x
  2. Step 2: Convert to fraction form
    950.52/1,426.68 = 586.02/x
  3. Step 3: Cross multiply
    950.52x = 1,426.68 × 586.02
  4. Step 4: Simplify right side
    950.52x = 836,063.01
  5. Step 5: Solve for x
    x = 836,063.01/950.52
  6. Step 6: Final answer
    x = 879.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.