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Finding the Fourth Proportional to 821.47, 1,231.60 and 496.76

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Solution

The fourth proportional to 821.47, 1,231.60 and 496.76 is: 744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.47 : 1,231.60 = 496.76 : x
  2. Step 2: Convert to fraction form
    821.47/1,231.60 = 496.76/x
  3. Step 3: Cross multiply
    821.47x = 1,231.60 × 496.76
  4. Step 4: Simplify right side
    821.47x = 611,807.13
  5. Step 5: Solve for x
    x = 611,807.13/821.47
  6. Step 6: Final answer
    x = 744.77

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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.