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Finding the Fourth Proportional to 758.84, 1,136.10 and 552.92

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Solution

The fourth proportional to 758.84, 1,136.10 and 552.92 is: 827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,136.10 = 552.92 : x
  2. Step 2: Convert to fraction form
    758.84/1,136.10 = 552.92/x
  3. Step 3: Cross multiply
    758.84x = 1,136.10 × 552.92
  4. Step 4: Simplify right side
    758.84x = 628,172.41
  5. Step 5: Solve for x
    x = 628,172.41/758.84
  6. Step 6: Final answer
    x = 827.81

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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.