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Finding the Fourth Proportional to 950.06, 1,311.08 and 524.73

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Solution

The fourth proportional to 950.06, 1,311.08 and 524.73 is: 724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.06 : 1,311.08 = 524.73 : x
  2. Step 2: Convert to fraction form
    950.06/1,311.08 = 524.73/x
  3. Step 3: Cross multiply
    950.06x = 1,311.08 × 524.73
  4. Step 4: Simplify right side
    950.06x = 687,963.01
  5. Step 5: Solve for x
    x = 687,963.01/950.06
  6. Step 6: Final answer
    x = 724.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.