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Finding the Fourth Proportional to 962.75, 1,327.98 and 589.58

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Solution

The fourth proportional to 962.75, 1,327.98 and 589.58 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.75 : 1,327.98 = 589.58 : x
  2. Step 2: Convert to fraction form
    962.75/1,327.98 = 589.58/x
  3. Step 3: Cross multiply
    962.75x = 1,327.98 × 589.58
  4. Step 4: Simplify right side
    962.75x = 782,943.81
  5. Step 5: Solve for x
    x = 782,943.81/962.75
  6. Step 6: Final answer
    x = 813.24

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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.