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Finding the Fourth Proportional to 821.77, 1,232.66 and 458.87

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Solution

The fourth proportional to 821.77, 1,232.66 and 458.87 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.77 : 1,232.66 = 458.87 : x
  2. Step 2: Convert to fraction form
    821.77/1,232.66 = 458.87/x
  3. Step 3: Cross multiply
    821.77x = 1,232.66 × 458.87
  4. Step 4: Simplify right side
    821.77x = 565,624.53
  5. Step 5: Solve for x
    x = 565,624.53/821.77
  6. Step 6: Final answer
    x = 688.30

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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.