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Finding the Fourth Proportional to 707.37, 1,061.20 and 213.73

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Solution

The fourth proportional to 707.37, 1,061.20 and 213.73 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.37 : 1,061.20 = 213.73 : x
  2. Step 2: Convert to fraction form
    707.37/1,061.20 = 213.73/x
  3. Step 3: Cross multiply
    707.37x = 1,061.20 × 213.73
  4. Step 4: Simplify right side
    707.37x = 226,810.28
  5. Step 5: Solve for x
    x = 226,810.28/707.37
  6. Step 6: Final answer
    x = 320.64

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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.