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Finding the Fourth Proportional to 827.63, 1,142.19 and 473.66

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Solution

The fourth proportional to 827.63, 1,142.19 and 473.66 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,142.19 = 473.66 : x
  2. Step 2: Convert to fraction form
    827.63/1,142.19 = 473.66/x
  3. Step 3: Cross multiply
    827.63x = 1,142.19 × 473.66
  4. Step 4: Simplify right side
    827.63x = 541,009.72
  5. Step 5: Solve for x
    x = 541,009.72/827.63
  6. Step 6: Final answer
    x = 653.69

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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.