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Finding the Fourth Proportional to 1,293.28, 1,783.97 and 851.02

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Solution

The fourth proportional to 1,293.28, 1,783.97 and 851.02 is: 1,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.28 : 1,783.97 = 851.02 : x
  2. Step 2: Convert to fraction form
    1,293.28/1,783.97 = 851.02/x
  3. Step 3: Cross multiply
    1,293.28x = 1,783.97 × 851.02
  4. Step 4: Simplify right side
    1,293.28x = 1,518,189.89
  5. Step 5: Solve for x
    x = 1,518,189.89/1,293.28
  6. Step 6: Final answer
    x = 1,173.91

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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.