Home / 1,031.24-1,423.09-589.14

Finding the Fourth Proportional to 1,031.24, 1,423.09 and 589.14

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Solution

The fourth proportional to 1,031.24, 1,423.09 and 589.14 is: 813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.24 : 1,423.09 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,031.24/1,423.09 = 589.14/x
  3. Step 3: Cross multiply
    1,031.24x = 1,423.09 × 589.14
  4. Step 4: Simplify right side
    1,031.24x = 838,399.24
  5. Step 5: Solve for x
    x = 838,399.24/1,031.24
  6. Step 6: Final answer
    x = 813.00

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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.