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Finding the Fourth Proportional to 945.16, 1,304.28 and 552.22

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Solution

The fourth proportional to 945.16, 1,304.28 and 552.22 is: 762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.16 : 1,304.28 = 552.22 : x
  2. Step 2: Convert to fraction form
    945.16/1,304.28 = 552.22/x
  3. Step 3: Cross multiply
    945.16x = 1,304.28 × 552.22
  4. Step 4: Simplify right side
    945.16x = 720,249.50
  5. Step 5: Solve for x
    x = 720,249.50/945.16
  6. Step 6: Final answer
    x = 762.04

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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.