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Finding the Fourth Proportional to 931.97, 1,286.10 and 506.59

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Solution

The fourth proportional to 931.97, 1,286.10 and 506.59 is: 699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,286.10 = 506.59 : x
  2. Step 2: Convert to fraction form
    931.97/1,286.10 = 506.59/x
  3. Step 3: Cross multiply
    931.97x = 1,286.10 × 506.59
  4. Step 4: Simplify right side
    931.97x = 651,522.18
  5. Step 5: Solve for x
    x = 651,522.18/931.97
  6. Step 6: Final answer
    x = 699.08

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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.