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Finding the Fourth Proportional to 1,031.40, 1,423.31 and 589.34

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Solution

The fourth proportional to 1,031.40, 1,423.31 and 589.34 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.40 : 1,423.31 = 589.34 : x
  2. Step 2: Convert to fraction form
    1,031.40/1,423.31 = 589.34/x
  3. Step 3: Cross multiply
    1,031.40x = 1,423.31 × 589.34
  4. Step 4: Simplify right side
    1,031.40x = 838,814.13
  5. Step 5: Solve for x
    x = 838,814.13/1,031.40
  6. Step 6: Final answer
    x = 813.28

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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.