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Finding the Fourth Proportional to 962.14, 1,327.68 and 589.32

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Solution

The fourth proportional to 962.14, 1,327.68 and 589.32 is: 813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.14 : 1,327.68 = 589.32 : x
  2. Step 2: Convert to fraction form
    962.14/1,327.68 = 589.32/x
  3. Step 3: Cross multiply
    962.14x = 1,327.68 × 589.32
  4. Step 4: Simplify right side
    962.14x = 782,428.38
  5. Step 5: Solve for x
    x = 782,428.38/962.14
  6. Step 6: Final answer
    x = 813.22

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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.