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Finding the Fourth Proportional to 821.14, 1,230.34 and 577.23

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Solution

The fourth proportional to 821.14, 1,230.34 and 577.23 is: 864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.14 : 1,230.34 = 577.23 : x
  2. Step 2: Convert to fraction form
    821.14/1,230.34 = 577.23/x
  3. Step 3: Cross multiply
    821.14x = 1,230.34 × 577.23
  4. Step 4: Simplify right side
    821.14x = 710,184.18
  5. Step 5: Solve for x
    x = 710,184.18/821.14
  6. Step 6: Final answer
    x = 864.88

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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.