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Finding the Fourth Proportional to 1,181.04, 1,629.82 and 657.04

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Solution

The fourth proportional to 1,181.04, 1,629.82 and 657.04 is: 906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.04 : 1,629.82 = 657.04 : x
  2. Step 2: Convert to fraction form
    1,181.04/1,629.82 = 657.04/x
  3. Step 3: Cross multiply
    1,181.04x = 1,629.82 × 657.04
  4. Step 4: Simplify right side
    1,181.04x = 1,070,856.93
  5. Step 5: Solve for x
    x = 1,070,856.93/1,181.04
  6. Step 6: Final answer
    x = 906.71

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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.