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Finding the Fourth Proportional to 823.99, 1,137.21 and 470.04

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Solution

The fourth proportional to 823.99, 1,137.21 and 470.04 is: 648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.99 : 1,137.21 = 470.04 : x
  2. Step 2: Convert to fraction form
    823.99/1,137.21 = 470.04/x
  3. Step 3: Cross multiply
    823.99x = 1,137.21 × 470.04
  4. Step 4: Simplify right side
    823.99x = 534,534.19
  5. Step 5: Solve for x
    x = 534,534.19/823.99
  6. Step 6: Final answer
    x = 648.71

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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.