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Finding the Fourth Proportional to 864.73, 1,193.28 and 533.18

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Solution

The fourth proportional to 864.73, 1,193.28 and 533.18 is: 735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.73 : 1,193.28 = 533.18 : x
  2. Step 2: Convert to fraction form
    864.73/1,193.28 = 533.18/x
  3. Step 3: Cross multiply
    864.73x = 1,193.28 × 533.18
  4. Step 4: Simplify right side
    864.73x = 636,237.01
  5. Step 5: Solve for x
    x = 636,237.01/864.73
  6. Step 6: Final answer
    x = 735.77

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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.