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Finding the Fourth Proportional to 931.27, 1,396.23 and 468.72

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Solution

The fourth proportional to 931.27, 1,396.23 and 468.72 is: 702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.27 : 1,396.23 = 468.72 : x
  2. Step 2: Convert to fraction form
    931.27/1,396.23 = 468.72/x
  3. Step 3: Cross multiply
    931.27x = 1,396.23 × 468.72
  4. Step 4: Simplify right side
    931.27x = 654,440.93
  5. Step 5: Solve for x
    x = 654,440.93/931.27
  6. Step 6: Final answer
    x = 702.74

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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.