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Finding the Fourth Proportional to 827.84, 1,142.45 and 473.82

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Solution

The fourth proportional to 827.84, 1,142.45 and 473.82 is: 653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,142.45 = 473.82 : x
  2. Step 2: Convert to fraction form
    827.84/1,142.45 = 473.82/x
  3. Step 3: Cross multiply
    827.84x = 1,142.45 × 473.82
  4. Step 4: Simplify right side
    827.84x = 541,315.66
  5. Step 5: Solve for x
    x = 541,315.66/827.84
  6. Step 6: Final answer
    x = 653.89

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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.