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Finding the Fourth Proportional to 1,106.67, 1,650.64 and 950.79

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Solution

The fourth proportional to 1,106.67, 1,650.64 and 950.79 is: 1,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.67 : 1,650.64 = 950.79 : x
  2. Step 2: Convert to fraction form
    1,106.67/1,650.64 = 950.79/x
  3. Step 3: Cross multiply
    1,106.67x = 1,650.64 × 950.79
  4. Step 4: Simplify right side
    1,106.67x = 1,569,409.63
  5. Step 5: Solve for x
    x = 1,569,409.63/1,106.67
  6. Step 6: Final answer
    x = 1,418.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.