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Finding the Fourth Proportional to 821.31, 1,133.45 and 467.24

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Solution

The fourth proportional to 821.31, 1,133.45 and 467.24 is: 644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.31 : 1,133.45 = 467.24 : x
  2. Step 2: Convert to fraction form
    821.31/1,133.45 = 467.24/x
  3. Step 3: Cross multiply
    821.31x = 1,133.45 × 467.24
  4. Step 4: Simplify right side
    821.31x = 529,585.17
  5. Step 5: Solve for x
    x = 529,585.17/821.31
  6. Step 6: Final answer
    x = 644.81

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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.