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Finding the Fourth Proportional to 710.22, 1,065.03 and 381.07

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Solution

The fourth proportional to 710.22, 1,065.03 and 381.07 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.22 : 1,065.03 = 381.07 : x
  2. Step 2: Convert to fraction form
    710.22/1,065.03 = 381.07/x
  3. Step 3: Cross multiply
    710.22x = 1,065.03 × 381.07
  4. Step 4: Simplify right side
    710.22x = 405,847.73
  5. Step 5: Solve for x
    x = 405,847.73/710.22
  6. Step 6: Final answer
    x = 571.44

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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.