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Finding the Fourth Proportional to 945.22, 1,304.46 and 546.98

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Solution

The fourth proportional to 945.22, 1,304.46 and 546.98 is: 754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.22 : 1,304.46 = 546.98 : x
  2. Step 2: Convert to fraction form
    945.22/1,304.46 = 546.98/x
  3. Step 3: Cross multiply
    945.22x = 1,304.46 × 546.98
  4. Step 4: Simplify right side
    945.22x = 713,513.53
  5. Step 5: Solve for x
    x = 713,513.53/945.22
  6. Step 6: Final answer
    x = 754.87

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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.