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Finding the Fourth Proportional to 967.30, 1,334.13 and 702.73

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Solution

The fourth proportional to 967.30, 1,334.13 and 702.73 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.30 : 1,334.13 = 702.73 : x
  2. Step 2: Convert to fraction form
    967.30/1,334.13 = 702.73/x
  3. Step 3: Cross multiply
    967.30x = 1,334.13 × 702.73
  4. Step 4: Simplify right side
    967.30x = 937,533.17
  5. Step 5: Solve for x
    x = 937,533.17/967.30
  6. Step 6: Final answer
    x = 969.23

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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.