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Finding the Fourth Proportional to 950.15, 1,424.04 and 675.66

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Solution

The fourth proportional to 950.15, 1,424.04 and 675.66 is: 1,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.15 : 1,424.04 = 675.66 : x
  2. Step 2: Convert to fraction form
    950.15/1,424.04 = 675.66/x
  3. Step 3: Cross multiply
    950.15x = 1,424.04 × 675.66
  4. Step 4: Simplify right side
    950.15x = 962,166.87
  5. Step 5: Solve for x
    x = 962,166.87/950.15
  6. Step 6: Final answer
    x = 1,012.65

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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.