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Finding the Fourth Proportional to 962.19, 1,327.86 and 589.05

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Solution

The fourth proportional to 962.19, 1,327.86 and 589.05 is: 812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,327.86 = 589.05 : x
  2. Step 2: Convert to fraction form
    962.19/1,327.86 = 589.05/x
  3. Step 3: Cross multiply
    962.19x = 1,327.86 × 589.05
  4. Step 4: Simplify right side
    962.19x = 782,175.93
  5. Step 5: Solve for x
    x = 782,175.93/962.19
  6. Step 6: Final answer
    x = 812.91

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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.