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Finding the Fourth Proportional to 1,031.55, 1,423.31 and 589.43

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Solution

The fourth proportional to 1,031.55, 1,423.31 and 589.43 is: 813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.55 : 1,423.31 = 589.43 : x
  2. Step 2: Convert to fraction form
    1,031.55/1,423.31 = 589.43/x
  3. Step 3: Cross multiply
    1,031.55x = 1,423.31 × 589.43
  4. Step 4: Simplify right side
    1,031.55x = 838,931.55
  5. Step 5: Solve for x
    x = 838,931.55/1,031.55
  6. Step 6: Final answer
    x = 813.27

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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.