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Finding the Fourth Proportional to 945.56, 1,304.50 and 547.15

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Solution

The fourth proportional to 945.56, 1,304.50 and 547.15 is: 754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.56 : 1,304.50 = 547.15 : x
  2. Step 2: Convert to fraction form
    945.56/1,304.50 = 547.15/x
  3. Step 3: Cross multiply
    945.56x = 1,304.50 × 547.15
  4. Step 4: Simplify right side
    945.56x = 713,757.18
  5. Step 5: Solve for x
    x = 713,757.18/945.56
  6. Step 6: Final answer
    x = 754.85

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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.