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Finding the Fourth Proportional to 821.52, 1,232.82 and 456.57

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Solution

The fourth proportional to 821.52, 1,232.82 and 456.57 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.52 : 1,232.82 = 456.57 : x
  2. Step 2: Convert to fraction form
    821.52/1,232.82 = 456.57/x
  3. Step 3: Cross multiply
    821.52x = 1,232.82 × 456.57
  4. Step 4: Simplify right side
    821.52x = 562,868.63
  5. Step 5: Solve for x
    x = 562,868.63/821.52
  6. Step 6: Final answer
    x = 685.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.