Home / 1,031.19-1,422.83-589.23

Finding the Fourth Proportional to 1,031.19, 1,422.83 and 589.23

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Solution

The fourth proportional to 1,031.19, 1,422.83 and 589.23 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.19 : 1,422.83 = 589.23 : x
  2. Step 2: Convert to fraction form
    1,031.19/1,422.83 = 589.23/x
  3. Step 3: Cross multiply
    1,031.19x = 1,422.83 × 589.23
  4. Step 4: Simplify right side
    1,031.19x = 838,374.12
  5. Step 5: Solve for x
    x = 838,374.12/1,031.19
  6. Step 6: Final answer
    x = 813.02

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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.