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Finding the Fourth Proportional to 821.23, 1,133.01 and 467.11

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Solution

The fourth proportional to 821.23, 1,133.01 and 467.11 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.23 : 1,133.01 = 467.11 : x
  2. Step 2: Convert to fraction form
    821.23/1,133.01 = 467.11/x
  3. Step 3: Cross multiply
    821.23x = 1,133.01 × 467.11
  4. Step 4: Simplify right side
    821.23x = 529,240.30
  5. Step 5: Solve for x
    x = 529,240.30/821.23
  6. Step 6: Final answer
    x = 644.45

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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.