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Finding the Fourth Proportional to 821.98, 1,231.61 and 578.00

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Solution

The fourth proportional to 821.98, 1,231.61 and 578.00 is: 866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,231.61 = 578.00 : x
  2. Step 2: Convert to fraction form
    821.98/1,231.61 = 578.00/x
  3. Step 3: Cross multiply
    821.98x = 1,231.61 × 578.00
  4. Step 4: Simplify right side
    821.98x = 711,863.84
  5. Step 5: Solve for x
    x = 711,863.84/821.98
  6. Step 6: Final answer
    x = 866.03

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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.