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Finding the Fourth Proportional to 1,107.08, 1,660.49 and 588.14

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Solution

The fourth proportional to 1,107.08, 1,660.49 and 588.14 is: 882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.08 : 1,660.49 = 588.14 : x
  2. Step 2: Convert to fraction form
    1,107.08/1,660.49 = 588.14/x
  3. Step 3: Cross multiply
    1,107.08x = 1,660.49 × 588.14
  4. Step 4: Simplify right side
    1,107.08x = 976,597.65
  5. Step 5: Solve for x
    x = 976,597.65/1,107.08
  6. Step 6: Final answer
    x = 882.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.