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Finding the Fourth Proportional to 757.64, 1,136.01 and 295.33

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Solution

The fourth proportional to 757.64, 1,136.01 and 295.33 is: 442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,136.01 = 295.33 : x
  2. Step 2: Convert to fraction form
    757.64/1,136.01 = 295.33/x
  3. Step 3: Cross multiply
    757.64x = 1,136.01 × 295.33
  4. Step 4: Simplify right side
    757.64x = 335,497.83
  5. Step 5: Solve for x
    x = 335,497.83/757.64
  6. Step 6: Final answer
    x = 442.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.