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Finding the Fourth Proportional to 821.07, 1,132.83 and 506.37

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Solution

The fourth proportional to 821.07, 1,132.83 and 506.37 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,132.83 = 506.37 : x
  2. Step 2: Convert to fraction form
    821.07/1,132.83 = 506.37/x
  3. Step 3: Cross multiply
    821.07x = 1,132.83 × 506.37
  4. Step 4: Simplify right side
    821.07x = 573,631.13
  5. Step 5: Solve for x
    x = 573,631.13/821.07
  6. Step 6: Final answer
    x = 698.64

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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.