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Finding the Fourth Proportional to 827.90, 1,142.33 and 533.12

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Solution

The fourth proportional to 827.90, 1,142.33 and 533.12 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,142.33 = 533.12 : x
  2. Step 2: Convert to fraction form
    827.90/1,142.33 = 533.12/x
  3. Step 3: Cross multiply
    827.90x = 1,142.33 × 533.12
  4. Step 4: Simplify right side
    827.90x = 609,003.16
  5. Step 5: Solve for x
    x = 609,003.16/827.90
  6. Step 6: Final answer
    x = 735.60

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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.