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Finding the Fourth Proportional to 945.23, 1,304.41 and 552.17

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Solution

The fourth proportional to 945.23, 1,304.41 and 552.17 is: 761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.23 : 1,304.41 = 552.17 : x
  2. Step 2: Convert to fraction form
    945.23/1,304.41 = 552.17/x
  3. Step 3: Cross multiply
    945.23x = 1,304.41 × 552.17
  4. Step 4: Simplify right side
    945.23x = 720,256.07
  5. Step 5: Solve for x
    x = 720,256.07/945.23
  6. Step 6: Final answer
    x = 761.99

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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.