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Finding the Fourth Proportional to 705.31, 971.61 and 539.46

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Solution

The fourth proportional to 705.31, 971.61 and 539.46 is: 743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.31 : 971.61 = 539.46 : x
  2. Step 2: Convert to fraction form
    705.31/971.61 = 539.46/x
  3. Step 3: Cross multiply
    705.31x = 971.61 × 539.46
  4. Step 4: Simplify right side
    705.31x = 524,144.73
  5. Step 5: Solve for x
    x = 524,144.73/705.31
  6. Step 6: Final answer
    x = 743.14

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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.