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Finding the Fourth Proportional to 931.75, 1,397.63 and 247.75

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Solution

The fourth proportional to 931.75, 1,397.63 and 247.75 is: 371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.75 : 1,397.63 = 247.75 : x
  2. Step 2: Convert to fraction form
    931.75/1,397.63 = 247.75/x
  3. Step 3: Cross multiply
    931.75x = 1,397.63 × 247.75
  4. Step 4: Simplify right side
    931.75x = 346,261.59
  5. Step 5: Solve for x
    x = 346,261.59/931.75
  6. Step 6: Final answer
    x = 371.63

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