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Finding the Fourth Proportional to 811.67, 1,215.23 and 639.14

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Solution

The fourth proportional to 811.67, 1,215.23 and 639.14 is: 956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.67 : 1,215.23 = 639.14 : x
  2. Step 2: Convert to fraction form
    811.67/1,215.23 = 639.14/x
  3. Step 3: Cross multiply
    811.67x = 1,215.23 × 639.14
  4. Step 4: Simplify right side
    811.67x = 776,702.10
  5. Step 5: Solve for x
    x = 776,702.10/811.67
  6. Step 6: Final answer
    x = 956.92

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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.