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Finding the Fourth Proportional to 950.13, 1,309.66 and 634.77

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Solution

The fourth proportional to 950.13, 1,309.66 and 634.77 is: 874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.13 : 1,309.66 = 634.77 : x
  2. Step 2: Convert to fraction form
    950.13/1,309.66 = 634.77/x
  3. Step 3: Cross multiply
    950.13x = 1,309.66 × 634.77
  4. Step 4: Simplify right side
    950.13x = 831,332.88
  5. Step 5: Solve for x
    x = 831,332.88/950.13
  6. Step 6: Final answer
    x = 874.97

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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.