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Finding the Fourth Proportional to 823.71, 1,136.71 and 450.69

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Solution

The fourth proportional to 823.71, 1,136.71 and 450.69 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.71 : 1,136.71 = 450.69 : x
  2. Step 2: Convert to fraction form
    823.71/1,136.71 = 450.69/x
  3. Step 3: Cross multiply
    823.71x = 1,136.71 × 450.69
  4. Step 4: Simplify right side
    823.71x = 512,303.83
  5. Step 5: Solve for x
    x = 512,303.83/823.71
  6. Step 6: Final answer
    x = 621.95

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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.