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Finding the Fourth Proportional to 1,107.55, 1,661.37 and 588.04

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Solution

The fourth proportional to 1,107.55, 1,661.37 and 588.04 is: 882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.55 : 1,661.37 = 588.04 : x
  2. Step 2: Convert to fraction form
    1,107.55/1,661.37 = 588.04/x
  3. Step 3: Cross multiply
    1,107.55x = 1,661.37 × 588.04
  4. Step 4: Simplify right side
    1,107.55x = 976,952.01
  5. Step 5: Solve for x
    x = 976,952.01/1,107.55
  6. Step 6: Final answer
    x = 882.08

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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.