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Finding the Fourth Proportional to 827.54, 1,141.93 and 473.39

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Solution

The fourth proportional to 827.54, 1,141.93 and 473.39 is: 653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.54 : 1,141.93 = 473.39 : x
  2. Step 2: Convert to fraction form
    827.54/1,141.93 = 473.39/x
  3. Step 3: Cross multiply
    827.54x = 1,141.93 × 473.39
  4. Step 4: Simplify right side
    827.54x = 540,578.24
  5. Step 5: Solve for x
    x = 540,578.24/827.54
  6. Step 6: Final answer
    x = 653.24

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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.