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Finding the Fourth Proportional to 1,136.68, 1,566.50 and 950.20

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Solution

The fourth proportional to 1,136.68, 1,566.50 and 950.20 is: 1,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.68 : 1,566.50 = 950.20 : x
  2. Step 2: Convert to fraction form
    1,136.68/1,566.50 = 950.20/x
  3. Step 3: Cross multiply
    1,136.68x = 1,566.50 × 950.20
  4. Step 4: Simplify right side
    1,136.68x = 1,488,488.30
  5. Step 5: Solve for x
    x = 1,488,488.30/1,136.68
  6. Step 6: Final answer
    x = 1,309.51

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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.