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Finding the Fourth Proportional to 1,031.12, 1,422.92 and 589

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Solution

The fourth proportional to 1,031.12, 1,422.92 and 589 is: 812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.12 : 1,422.92 = 589 : x
  2. Step 2: Convert to fraction form
    1,031.12/1,422.92 = 589/x
  3. Step 3: Cross multiply
    1,031.12x = 1,422.92 × 589
  4. Step 4: Simplify right side
    1,031.12x = 838,099.88
  5. Step 5: Solve for x
    x = 838,099.88/1,031.12
  6. Step 6: Final answer
    x = 812.81

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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.