Home / 1,753.49-2,629.85-713.22

Finding the Fourth Proportional to 1,753.49, 2,629.85 and 713.22

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Solution

The fourth proportional to 1,753.49, 2,629.85 and 713.22 is: 1,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.49 : 2,629.85 = 713.22 : x
  2. Step 2: Convert to fraction form
    1,753.49/2,629.85 = 713.22/x
  3. Step 3: Cross multiply
    1,753.49x = 2,629.85 × 713.22
  4. Step 4: Simplify right side
    1,753.49x = 1,875,653.26
  5. Step 5: Solve for x
    x = 1,875,653.26/1,753.49
  6. Step 6: Final answer
    x = 1,069.67

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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.