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Finding the Fourth Proportional to 945.52, 1,304.48 and 552.40

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Solution

The fourth proportional to 945.52, 1,304.48 and 552.40 is: 762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.52 : 1,304.48 = 552.40 : x
  2. Step 2: Convert to fraction form
    945.52/1,304.48 = 552.40/x
  3. Step 3: Cross multiply
    945.52x = 1,304.48 × 552.40
  4. Step 4: Simplify right side
    945.52x = 720,594.75
  5. Step 5: Solve for x
    x = 720,594.75/945.52
  6. Step 6: Final answer
    x = 762.11

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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.