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Finding the Fourth Proportional to 962.31, 1,327.99 and 613.20

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Solution

The fourth proportional to 962.31, 1,327.99 and 613.20 is: 846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.31 : 1,327.99 = 613.20 : x
  2. Step 2: Convert to fraction form
    962.31/1,327.99 = 613.20/x
  3. Step 3: Cross multiply
    962.31x = 1,327.99 × 613.20
  4. Step 4: Simplify right side
    962.31x = 814,323.47
  5. Step 5: Solve for x
    x = 814,323.47/962.31
  6. Step 6: Final answer
    x = 846.22

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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.