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Finding the Fourth Proportional to 950.01, 1,312.28 and 764.20

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Solution

The fourth proportional to 950.01, 1,312.28 and 764.20 is: 1,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.01 : 1,312.28 = 764.20 : x
  2. Step 2: Convert to fraction form
    950.01/1,312.28 = 764.20/x
  3. Step 3: Cross multiply
    950.01x = 1,312.28 × 764.20
  4. Step 4: Simplify right side
    950.01x = 1,002,837.27
  5. Step 5: Solve for x
    x = 1,002,837.27/950.01
  6. Step 6: Final answer
    x = 1,055.61

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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.