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Finding the Fourth Proportional to 1,031.49, 1,423.44 and 589.39

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Solution

The fourth proportional to 1,031.49, 1,423.44 and 589.39 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.49 : 1,423.44 = 589.39 : x
  2. Step 2: Convert to fraction form
    1,031.49/1,423.44 = 589.39/x
  3. Step 3: Cross multiply
    1,031.49x = 1,423.44 × 589.39
  4. Step 4: Simplify right side
    1,031.49x = 838,954.18
  5. Step 5: Solve for x
    x = 838,954.18/1,031.49
  6. Step 6: Final answer
    x = 813.34

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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.