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Finding the Fourth Proportional to 945.60, 1,304.92 and 552.54

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Solution

The fourth proportional to 945.60, 1,304.92 and 552.54 is: 762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,304.92 = 552.54 : x
  2. Step 2: Convert to fraction form
    945.60/1,304.92 = 552.54/x
  3. Step 3: Cross multiply
    945.60x = 1,304.92 × 552.54
  4. Step 4: Simplify right side
    945.60x = 721,020.50
  5. Step 5: Solve for x
    x = 721,020.50/945.60
  6. Step 6: Final answer
    x = 762.50

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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.