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Finding the Fourth Proportional to 931.93, 1,286.62 and 617.46

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Solution

The fourth proportional to 931.93, 1,286.62 and 617.46 is: 852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.93 : 1,286.62 = 617.46 : x
  2. Step 2: Convert to fraction form
    931.93/1,286.62 = 617.46/x
  3. Step 3: Cross multiply
    931.93x = 1,286.62 × 617.46
  4. Step 4: Simplify right side
    931.93x = 794,434.71
  5. Step 5: Solve for x
    x = 794,434.71/931.93
  6. Step 6: Final answer
    x = 852.46

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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.