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Finding the Fourth Proportional to 962.24, 1,327.84 and 589.10

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Solution

The fourth proportional to 962.24, 1,327.84 and 589.10 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,327.84 = 589.10 : x
  2. Step 2: Convert to fraction form
    962.24/1,327.84 = 589.10/x
  3. Step 3: Cross multiply
    962.24x = 1,327.84 × 589.10
  4. Step 4: Simplify right side
    962.24x = 782,230.54
  5. Step 5: Solve for x
    x = 782,230.54/962.24
  6. Step 6: Final answer
    x = 812.93

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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.