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Finding the Fourth Proportional to 962.20, 1,327.40 and 589.03

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Solution

The fourth proportional to 962.20, 1,327.40 and 589.03 is: 812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.20 : 1,327.40 = 589.03 : x
  2. Step 2: Convert to fraction form
    962.20/1,327.40 = 589.03/x
  3. Step 3: Cross multiply
    962.20x = 1,327.40 × 589.03
  4. Step 4: Simplify right side
    962.20x = 781,868.84
  5. Step 5: Solve for x
    x = 781,868.84/962.20
  6. Step 6: Final answer
    x = 812.59

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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.