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Finding the Fourth Proportional to 827.21, 1,141.58 and 454.24

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Solution

The fourth proportional to 827.21, 1,141.58 and 454.24 is: 626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.21 : 1,141.58 = 454.24 : x
  2. Step 2: Convert to fraction form
    827.21/1,141.58 = 454.24/x
  3. Step 3: Cross multiply
    827.21x = 1,141.58 × 454.24
  4. Step 4: Simplify right side
    827.21x = 518,551.31
  5. Step 5: Solve for x
    x = 518,551.31/827.21
  6. Step 6: Final answer
    x = 626.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.