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Finding the Fourth Proportional to 945.27, 1,304.20 and 546.90

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Solution

The fourth proportional to 945.27, 1,304.20 and 546.90 is: 754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.27 : 1,304.20 = 546.90 : x
  2. Step 2: Convert to fraction form
    945.27/1,304.20 = 546.90/x
  3. Step 3: Cross multiply
    945.27x = 1,304.20 × 546.90
  4. Step 4: Simplify right side
    945.27x = 713,270.11
  5. Step 5: Solve for x
    x = 713,270.11/945.27
  6. Step 6: Final answer
    x = 754.57

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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.