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Finding the Fourth Proportional to 945.03, 1,304.21 and 546.76

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Solution

The fourth proportional to 945.03, 1,304.21 and 546.76 is: 754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.03 : 1,304.21 = 546.76 : x
  2. Step 2: Convert to fraction form
    945.03/1,304.21 = 546.76/x
  3. Step 3: Cross multiply
    945.03x = 1,304.21 × 546.76
  4. Step 4: Simplify right side
    945.03x = 713,083.87
  5. Step 5: Solve for x
    x = 713,083.87/945.03
  6. Step 6: Final answer
    x = 754.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.