Home / 1,165.24-1,748.94-588.52

Finding the Fourth Proportional to 1,165.24, 1,748.94 and 588.52

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Solution

The fourth proportional to 1,165.24, 1,748.94 and 588.52 is: 883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,748.94 = 588.52 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,748.94 = 588.52/x
  3. Step 3: Cross multiply
    1,165.24x = 1,748.94 × 588.52
  4. Step 4: Simplify right side
    1,165.24x = 1,029,286.17
  5. Step 5: Solve for x
    x = 1,029,286.17/1,165.24
  6. Step 6: Final answer
    x = 883.33

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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.