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Finding the Fourth Proportional to 945.14, 1,304.10 and 546.70

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Solution

The fourth proportional to 945.14, 1,304.10 and 546.70 is: 754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.14 : 1,304.10 = 546.70 : x
  2. Step 2: Convert to fraction form
    945.14/1,304.10 = 546.70/x
  3. Step 3: Cross multiply
    945.14x = 1,304.10 × 546.70
  4. Step 4: Simplify right side
    945.14x = 712,951.47
  5. Step 5: Solve for x
    x = 712,951.47/945.14
  6. Step 6: Final answer
    x = 754.33

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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.