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Finding the Fourth Proportional to 827.81, 1,142.89 and 533.60

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Solution

The fourth proportional to 827.81, 1,142.89 and 533.60 is: 736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.81 : 1,142.89 = 533.60 : x
  2. Step 2: Convert to fraction form
    827.81/1,142.89 = 533.60/x
  3. Step 3: Cross multiply
    827.81x = 1,142.89 × 533.60
  4. Step 4: Simplify right side
    827.81x = 609,847.63
  5. Step 5: Solve for x
    x = 609,847.63/827.81
  6. Step 6: Final answer
    x = 736.70

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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.