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Finding the Fourth Proportional to 945.47, 1,304.71 and 552.62

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Solution

The fourth proportional to 945.47, 1,304.71 and 552.62 is: 762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,304.71 = 552.62 : x
  2. Step 2: Convert to fraction form
    945.47/1,304.71 = 552.62/x
  3. Step 3: Cross multiply
    945.47x = 1,304.71 × 552.62
  4. Step 4: Simplify right side
    945.47x = 721,010.72
  5. Step 5: Solve for x
    x = 721,010.72/945.47
  6. Step 6: Final answer
    x = 762.59

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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.