Home / 1,319.92-1,983.47-704.06

Finding the Fourth Proportional to 1,319.92, 1,983.47 and 704.06

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Solution

The fourth proportional to 1,319.92, 1,983.47 and 704.06 is: 1,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.92 : 1,983.47 = 704.06 : x
  2. Step 2: Convert to fraction form
    1,319.92/1,983.47 = 704.06/x
  3. Step 3: Cross multiply
    1,319.92x = 1,983.47 × 704.06
  4. Step 4: Simplify right side
    1,319.92x = 1,396,481.89
  5. Step 5: Solve for x
    x = 1,396,481.89/1,319.92
  6. Step 6: Final answer
    x = 1,058.00

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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.