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Finding the Fourth Proportional to 821.93, 1,231.72 and 577.95

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Solution

The fourth proportional to 821.93, 1,231.72 and 577.95 is: 866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,231.72 = 577.95 : x
  2. Step 2: Convert to fraction form
    821.93/1,231.72 = 577.95/x
  3. Step 3: Cross multiply
    821.93x = 1,231.72 × 577.95
  4. Step 4: Simplify right side
    821.93x = 711,872.57
  5. Step 5: Solve for x
    x = 711,872.57/821.93
  6. Step 6: Final answer
    x = 866.10

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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.