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Finding the Fourth Proportional to 824.63, 1,138.02 and 470.66

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Solution

The fourth proportional to 824.63, 1,138.02 and 470.66 is: 649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,138.02 = 470.66 : x
  2. Step 2: Convert to fraction form
    824.63/1,138.02 = 470.66/x
  3. Step 3: Cross multiply
    824.63x = 1,138.02 × 470.66
  4. Step 4: Simplify right side
    824.63x = 535,614.80
  5. Step 5: Solve for x
    x = 535,614.80/824.63
  6. Step 6: Final answer
    x = 649.53

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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.