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Finding the Fourth Proportional to 950.17, 1,314.83 and 810.07

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Solution

The fourth proportional to 950.17, 1,314.83 and 810.07 is: 1,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.17 : 1,314.83 = 810.07 : x
  2. Step 2: Convert to fraction form
    950.17/1,314.83 = 810.07/x
  3. Step 3: Cross multiply
    950.17x = 1,314.83 × 810.07
  4. Step 4: Simplify right side
    950.17x = 1,065,103.08
  5. Step 5: Solve for x
    x = 1,065,103.08/950.17
  6. Step 6: Final answer
    x = 1,120.96

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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.