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Finding the Fourth Proportional to 824.92, 1,136.99 and 684.59

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Solution

The fourth proportional to 824.92, 1,136.99 and 684.59 is: 943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.92 : 1,136.99 = 684.59 : x
  2. Step 2: Convert to fraction form
    824.92/1,136.99 = 684.59/x
  3. Step 3: Cross multiply
    824.92x = 1,136.99 × 684.59
  4. Step 4: Simplify right side
    824.92x = 778,368.01
  5. Step 5: Solve for x
    x = 778,368.01/824.92
  6. Step 6: Final answer
    x = 943.57

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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.