Home / 1,031.27-1,423.31-589.14

Finding the Fourth Proportional to 1,031.27, 1,423.31 and 589.14

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Solution

The fourth proportional to 1,031.27, 1,423.31 and 589.14 is: 813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.27 : 1,423.31 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,031.27/1,423.31 = 589.14/x
  3. Step 3: Cross multiply
    1,031.27x = 1,423.31 × 589.14
  4. Step 4: Simplify right side
    1,031.27x = 838,525.91
  5. Step 5: Solve for x
    x = 838,525.91/1,031.27
  6. Step 6: Final answer
    x = 813.10

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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.