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Finding the Fourth Proportional to 962.25, 1,327.80 and 589.05

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Solution

The fourth proportional to 962.25, 1,327.80 and 589.05 is: 812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,327.80 = 589.05 : x
  2. Step 2: Convert to fraction form
    962.25/1,327.80 = 589.05/x
  3. Step 3: Cross multiply
    962.25x = 1,327.80 × 589.05
  4. Step 4: Simplify right side
    962.25x = 782,140.59
  5. Step 5: Solve for x
    x = 782,140.59/962.25
  6. Step 6: Final answer
    x = 812.82

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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.