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Finding the Fourth Proportional to 1,282.92, 1,769.76 and 840.60

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Solution

The fourth proportional to 1,282.92, 1,769.76 and 840.60 is: 1,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.92 : 1,769.76 = 840.60 : x
  2. Step 2: Convert to fraction form
    1,282.92/1,769.76 = 840.60/x
  3. Step 3: Cross multiply
    1,282.92x = 1,769.76 × 840.60
  4. Step 4: Simplify right side
    1,282.92x = 1,487,660.26
  5. Step 5: Solve for x
    x = 1,487,660.26/1,282.92
  6. Step 6: Final answer
    x = 1,159.59

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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.