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Finding the Fourth Proportional to 945.69, 1,305.12 and 547.50

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Solution

The fourth proportional to 945.69, 1,305.12 and 547.50 is: 755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.69 : 1,305.12 = 547.50 : x
  2. Step 2: Convert to fraction form
    945.69/1,305.12 = 547.50/x
  3. Step 3: Cross multiply
    945.69x = 1,305.12 × 547.50
  4. Step 4: Simplify right side
    945.69x = 714,553.20
  5. Step 5: Solve for x
    x = 714,553.20/945.69
  6. Step 6: Final answer
    x = 755.59

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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.