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Finding the Fourth Proportional to 883.24, 1,325.31 and 668.14

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Solution

The fourth proportional to 883.24, 1,325.31 and 668.14 is: 1,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.24 : 1,325.31 = 668.14 : x
  2. Step 2: Convert to fraction form
    883.24/1,325.31 = 668.14/x
  3. Step 3: Cross multiply
    883.24x = 1,325.31 × 668.14
  4. Step 4: Simplify right side
    883.24x = 885,492.62
  5. Step 5: Solve for x
    x = 885,492.62/883.24
  6. Step 6: Final answer
    x = 1,002.55

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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.