Home / 1,319.24-1,977.42-587.82

Finding the Fourth Proportional to 1,319.24, 1,977.42 and 587.82

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Solution

The fourth proportional to 1,319.24, 1,977.42 and 587.82 is: 881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.24 : 1,977.42 = 587.82 : x
  2. Step 2: Convert to fraction form
    1,319.24/1,977.42 = 587.82/x
  3. Step 3: Cross multiply
    1,319.24x = 1,977.42 × 587.82
  4. Step 4: Simplify right side
    1,319.24x = 1,162,367.02
  5. Step 5: Solve for x
    x = 1,162,367.02/1,319.24
  6. Step 6: Final answer
    x = 881.09

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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.