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Finding the Fourth Proportional to 1,293.57, 1,784.43 and 962.28

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Solution

The fourth proportional to 1,293.57, 1,784.43 and 962.28 is: 1,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.57 : 1,784.43 = 962.28 : x
  2. Step 2: Convert to fraction form
    1,293.57/1,784.43 = 962.28/x
  3. Step 3: Cross multiply
    1,293.57x = 1,784.43 × 962.28
  4. Step 4: Simplify right side
    1,293.57x = 1,717,121.30
  5. Step 5: Solve for x
    x = 1,717,121.30/1,293.57
  6. Step 6: Final answer
    x = 1,327.43

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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.