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Finding the Fourth Proportional to 827.66, 1,142.08 and 496.07

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Solution

The fourth proportional to 827.66, 1,142.08 and 496.07 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.66 : 1,142.08 = 496.07 : x
  2. Step 2: Convert to fraction form
    827.66/1,142.08 = 496.07/x
  3. Step 3: Cross multiply
    827.66x = 1,142.08 × 496.07
  4. Step 4: Simplify right side
    827.66x = 566,549.15
  5. Step 5: Solve for x
    x = 566,549.15/827.66
  6. Step 6: Final answer
    x = 684.52

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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.