Home / 1,165.40-1,748.10-472.08

Finding the Fourth Proportional to 1,165.40, 1,748.10 and 472.08

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Solution

The fourth proportional to 1,165.40, 1,748.10 and 472.08 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.40 : 1,748.10 = 472.08 : x
  2. Step 2: Convert to fraction form
    1,165.40/1,748.10 = 472.08/x
  3. Step 3: Cross multiply
    1,165.40x = 1,748.10 × 472.08
  4. Step 4: Simplify right side
    1,165.40x = 825,246.68
  5. Step 5: Solve for x
    x = 825,246.68/1,165.40
  6. Step 6: Final answer
    x = 708.12

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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.