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Finding the Fourth Proportional to 821.60, 1,232.92 and 437.12

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Solution

The fourth proportional to 821.60, 1,232.92 and 437.12 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.60 : 1,232.92 = 437.12 : x
  2. Step 2: Convert to fraction form
    821.60/1,232.92 = 437.12/x
  3. Step 3: Cross multiply
    821.60x = 1,232.92 × 437.12
  4. Step 4: Simplify right side
    821.60x = 538,933.99
  5. Step 5: Solve for x
    x = 538,933.99/821.60
  6. Step 6: Final answer
    x = 655.96

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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.