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Finding the Fourth Proportional to 703.14, 971.49 and 546.42

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Solution

The fourth proportional to 703.14, 971.49 and 546.42 is: 754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.14 : 971.49 = 546.42 : x
  2. Step 2: Convert to fraction form
    703.14/971.49 = 546.42/x
  3. Step 3: Cross multiply
    703.14x = 971.49 × 546.42
  4. Step 4: Simplify right side
    703.14x = 530,841.57
  5. Step 5: Solve for x
    x = 530,841.57/703.14
  6. Step 6: Final answer
    x = 754.96

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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.