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Finding the Fourth Proportional to 862.86, 1,293.80 and 589.26

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Solution

The fourth proportional to 862.86, 1,293.80 and 589.26 is: 883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.86 : 1,293.80 = 589.26 : x
  2. Step 2: Convert to fraction form
    862.86/1,293.80 = 589.26/x
  3. Step 3: Cross multiply
    862.86x = 1,293.80 × 589.26
  4. Step 4: Simplify right side
    862.86x = 762,384.59
  5. Step 5: Solve for x
    x = 762,384.59/862.86
  6. Step 6: Final answer
    x = 883.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.