Home / 1,150.20-1,588.14-802.44

Finding the Fourth Proportional to 1,150.20, 1,588.14 and 802.44

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Solution

The fourth proportional to 1,150.20, 1,588.14 and 802.44 is: 1,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.20 : 1,588.14 = 802.44 : x
  2. Step 2: Convert to fraction form
    1,150.20/1,588.14 = 802.44/x
  3. Step 3: Cross multiply
    1,150.20x = 1,588.14 × 802.44
  4. Step 4: Simplify right side
    1,150.20x = 1,274,387.06
  5. Step 5: Solve for x
    x = 1,274,387.06/1,150.20
  6. Step 6: Final answer
    x = 1,107.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.