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Finding the Fourth Proportional to 1,181.97, 1,631.17 and 658.00

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Solution

The fourth proportional to 1,181.97, 1,631.17 and 658.00 is: 908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.97 : 1,631.17 = 658.00 : x
  2. Step 2: Convert to fraction form
    1,181.97/1,631.17 = 658.00/x
  3. Step 3: Cross multiply
    1,181.97x = 1,631.17 × 658.00
  4. Step 4: Simplify right side
    1,181.97x = 1,073,312.72
  5. Step 5: Solve for x
    x = 1,073,312.72/1,181.97
  6. Step 6: Final answer
    x = 908.07

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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.