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Finding the Fourth Proportional to 827.30, 1,141.64 and 454.25

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Solution

The fourth proportional to 827.30, 1,141.64 and 454.25 is: 626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.30 : 1,141.64 = 454.25 : x
  2. Step 2: Convert to fraction form
    827.30/1,141.64 = 454.25/x
  3. Step 3: Cross multiply
    827.30x = 1,141.64 × 454.25
  4. Step 4: Simplify right side
    827.30x = 518,581.99
  5. Step 5: Solve for x
    x = 518,581.99/827.30
  6. Step 6: Final answer
    x = 626.84

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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.