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Finding the Fourth Proportional to 827.86, 1,142.34 and 491.70

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Solution

The fourth proportional to 827.86, 1,142.34 and 491.70 is: 678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.86 : 1,142.34 = 491.70 : x
  2. Step 2: Convert to fraction form
    827.86/1,142.34 = 491.70/x
  3. Step 3: Cross multiply
    827.86x = 1,142.34 × 491.70
  4. Step 4: Simplify right side
    827.86x = 561,688.58
  5. Step 5: Solve for x
    x = 561,688.58/827.86
  6. Step 6: Final answer
    x = 678.48

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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.