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Finding the Fourth Proportional to 823.68, 1,136.58 and 561.66

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Solution

The fourth proportional to 823.68, 1,136.58 and 561.66 is: 775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.68 : 1,136.58 = 561.66 : x
  2. Step 2: Convert to fraction form
    823.68/1,136.58 = 561.66/x
  3. Step 3: Cross multiply
    823.68x = 1,136.58 × 561.66
  4. Step 4: Simplify right side
    823.68x = 638,371.52
  5. Step 5: Solve for x
    x = 638,371.52/823.68
  6. Step 6: Final answer
    x = 775.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.