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Finding the Fourth Proportional to 757.83, 1,136.45 and 295.55

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Solution

The fourth proportional to 757.83, 1,136.45 and 295.55 is: 443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.83 : 1,136.45 = 295.55 : x
  2. Step 2: Convert to fraction form
    757.83/1,136.45 = 295.55/x
  3. Step 3: Cross multiply
    757.83x = 1,136.45 × 295.55
  4. Step 4: Simplify right side
    757.83x = 335,870.64
  5. Step 5: Solve for x
    x = 335,870.64/757.83
  6. Step 6: Final answer
    x = 443.20

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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.