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Finding the Fourth Proportional to 945.44, 1,418.70 and 512.63

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Solution

The fourth proportional to 945.44, 1,418.70 and 512.63 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.44 : 1,418.70 = 512.63 : x
  2. Step 2: Convert to fraction form
    945.44/1,418.70 = 512.63/x
  3. Step 3: Cross multiply
    945.44x = 1,418.70 × 512.63
  4. Step 4: Simplify right side
    945.44x = 727,268.18
  5. Step 5: Solve for x
    x = 727,268.18/945.44
  6. Step 6: Final answer
    x = 769.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.