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Finding the Fourth Proportional to 824.48, 1,137.83 and 470.44

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Solution

The fourth proportional to 824.48, 1,137.83 and 470.44 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,137.83 = 470.44 : x
  2. Step 2: Convert to fraction form
    824.48/1,137.83 = 470.44/x
  3. Step 3: Cross multiply
    824.48x = 1,137.83 × 470.44
  4. Step 4: Simplify right side
    824.48x = 535,280.75
  5. Step 5: Solve for x
    x = 535,280.75/824.48
  6. Step 6: Final answer
    x = 649.23

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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.