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Finding the Fourth Proportional to 1,165.36, 1,748.04 and 472.02

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Solution

The fourth proportional to 1,165.36, 1,748.04 and 472.02 is: 708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.36 : 1,748.04 = 472.02 : x
  2. Step 2: Convert to fraction form
    1,165.36/1,748.04 = 472.02/x
  3. Step 3: Cross multiply
    1,165.36x = 1,748.04 × 472.02
  4. Step 4: Simplify right side
    1,165.36x = 825,107.48
  5. Step 5: Solve for x
    x = 825,107.48/1,165.36
  6. Step 6: Final answer
    x = 708.03

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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.