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Finding the Fourth Proportional to 821.94, 1,231.59 and 382.71

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Solution

The fourth proportional to 821.94, 1,231.59 and 382.71 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,231.59 = 382.71 : x
  2. Step 2: Convert to fraction form
    821.94/1,231.59 = 382.71/x
  3. Step 3: Cross multiply
    821.94x = 1,231.59 × 382.71
  4. Step 4: Simplify right side
    821.94x = 471,341.81
  5. Step 5: Solve for x
    x = 471,341.81/821.94
  6. Step 6: Final answer
    x = 573.45

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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.