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Finding the Fourth Proportional to 931.82, 1,398.17 and 411.75

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Solution

The fourth proportional to 931.82, 1,398.17 and 411.75 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.82 : 1,398.17 = 411.75 : x
  2. Step 2: Convert to fraction form
    931.82/1,398.17 = 411.75/x
  3. Step 3: Cross multiply
    931.82x = 1,398.17 × 411.75
  4. Step 4: Simplify right side
    931.82x = 575,697.53
  5. Step 5: Solve for x
    x = 575,697.53/931.82
  6. Step 6: Final answer
    x = 617.82

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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.