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Finding the Fourth Proportional to 758.66, 1,136.16 and 540.23

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Solution

The fourth proportional to 758.66, 1,136.16 and 540.23 is: 809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,136.16 = 540.23 : x
  2. Step 2: Convert to fraction form
    758.66/1,136.16 = 540.23/x
  3. Step 3: Cross multiply
    758.66x = 1,136.16 × 540.23
  4. Step 4: Simplify right side
    758.66x = 613,782.04
  5. Step 5: Solve for x
    x = 613,782.04/758.66
  6. Step 6: Final answer
    x = 809.04

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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.