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Finding the Fourth Proportional to 962.30, 1,327.62 and 589.14

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Solution

The fourth proportional to 962.30, 1,327.62 and 589.14 is: 812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,327.62 = 589.14 : x
  2. Step 2: Convert to fraction form
    962.30/1,327.62 = 589.14/x
  3. Step 3: Cross multiply
    962.30x = 1,327.62 × 589.14
  4. Step 4: Simplify right side
    962.30x = 782,154.05
  5. Step 5: Solve for x
    x = 782,154.05/962.30
  6. Step 6: Final answer
    x = 812.80

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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.