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Finding the Fourth Proportional to 1,031.61, 1,423.22 and 589.17

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Solution

The fourth proportional to 1,031.61, 1,423.22 and 589.17 is: 812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.61 : 1,423.22 = 589.17 : x
  2. Step 2: Convert to fraction form
    1,031.61/1,423.22 = 589.17/x
  3. Step 3: Cross multiply
    1,031.61x = 1,423.22 × 589.17
  4. Step 4: Simplify right side
    1,031.61x = 838,515.58
  5. Step 5: Solve for x
    x = 838,515.58/1,031.61
  6. Step 6: Final answer
    x = 812.82

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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.