Home / 1,319.12-1,979.40-589.20

Finding the Fourth Proportional to 1,319.12, 1,979.40 and 589.20

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Solution

The fourth proportional to 1,319.12, 1,979.40 and 589.20 is: 884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.12 : 1,979.40 = 589.20 : x
  2. Step 2: Convert to fraction form
    1,319.12/1,979.40 = 589.20/x
  3. Step 3: Cross multiply
    1,319.12x = 1,979.40 × 589.20
  4. Step 4: Simplify right side
    1,319.12x = 1,166,262.48
  5. Step 5: Solve for x
    x = 1,166,262.48/1,319.12
  6. Step 6: Final answer
    x = 884.12

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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.