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Finding the Fourth Proportional to 931.94, 1,398.24 and 521.43

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Solution

The fourth proportional to 931.94, 1,398.24 and 521.43 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.94 : 1,398.24 = 521.43 : x
  2. Step 2: Convert to fraction form
    931.94/1,398.24 = 521.43/x
  3. Step 3: Cross multiply
    931.94x = 1,398.24 × 521.43
  4. Step 4: Simplify right side
    931.94x = 729,084.28
  5. Step 5: Solve for x
    x = 729,084.28/931.94
  6. Step 6: Final answer
    x = 782.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.