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Finding the Fourth Proportional to 1,301.17, 1,951.71 and 643.54

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Solution

The fourth proportional to 1,301.17, 1,951.71 and 643.54 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.17 : 1,951.71 = 643.54 : x
  2. Step 2: Convert to fraction form
    1,301.17/1,951.71 = 643.54/x
  3. Step 3: Cross multiply
    1,301.17x = 1,951.71 × 643.54
  4. Step 4: Simplify right side
    1,301.17x = 1,256,003.45
  5. Step 5: Solve for x
    x = 1,256,003.45/1,301.17
  6. Step 6: Final answer
    x = 965.29

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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.