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Finding the Fourth Proportional to 1,392.48, 1,921.62 and 825.60

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Solution

The fourth proportional to 1,392.48, 1,921.62 and 825.60 is: 1,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.48 : 1,921.62 = 825.60 : x
  2. Step 2: Convert to fraction form
    1,392.48/1,921.62 = 825.60/x
  3. Step 3: Cross multiply
    1,392.48x = 1,921.62 × 825.60
  4. Step 4: Simplify right side
    1,392.48x = 1,586,489.47
  5. Step 5: Solve for x
    x = 1,586,489.47/1,392.48
  6. Step 6: Final answer
    x = 1,139.33

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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.