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Finding the Fourth Proportional to 701.20, 1,051.27 and 354.27

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Solution

The fourth proportional to 701.20, 1,051.27 and 354.27 is: 531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.20 : 1,051.27 = 354.27 : x
  2. Step 2: Convert to fraction form
    701.20/1,051.27 = 354.27/x
  3. Step 3: Cross multiply
    701.20x = 1,051.27 × 354.27
  4. Step 4: Simplify right side
    701.20x = 372,433.42
  5. Step 5: Solve for x
    x = 372,433.42/701.20
  6. Step 6: Final answer
    x = 531.14

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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.