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Finding the Fourth Proportional to 943.60, 1,301.52 and 664.44

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Solution

The fourth proportional to 943.60, 1,301.52 and 664.44 is: 916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.60 : 1,301.52 = 664.44 : x
  2. Step 2: Convert to fraction form
    943.60/1,301.52 = 664.44/x
  3. Step 3: Cross multiply
    943.60x = 1,301.52 × 664.44
  4. Step 4: Simplify right side
    943.60x = 864,781.95
  5. Step 5: Solve for x
    x = 864,781.95/943.60
  6. Step 6: Final answer
    x = 916.47

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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.