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Finding the Fourth Proportional to 1,181.92, 1,631.04 and 740.06

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Solution

The fourth proportional to 1,181.92, 1,631.04 and 740.06 is: 1,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.92 : 1,631.04 = 740.06 : x
  2. Step 2: Convert to fraction form
    1,181.92/1,631.04 = 740.06/x
  3. Step 3: Cross multiply
    1,181.92x = 1,631.04 × 740.06
  4. Step 4: Simplify right side
    1,181.92x = 1,207,067.46
  5. Step 5: Solve for x
    x = 1,207,067.46/1,181.92
  6. Step 6: Final answer
    x = 1,021.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.