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Finding the Fourth Proportional to 1,203.78, 1,659.96 and 982.02

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Solution

The fourth proportional to 1,203.78, 1,659.96 and 982.02 is: 1,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.78 : 1,659.96 = 982.02 : x
  2. Step 2: Convert to fraction form
    1,203.78/1,659.96 = 982.02/x
  3. Step 3: Cross multiply
    1,203.78x = 1,659.96 × 982.02
  4. Step 4: Simplify right side
    1,203.78x = 1,630,113.92
  5. Step 5: Solve for x
    x = 1,630,113.92/1,203.78
  6. Step 6: Final answer
    x = 1,354.16

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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.