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Finding the Fourth Proportional to 967.24, 1,336.02 and 702.28

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Solution

The fourth proportional to 967.24, 1,336.02 and 702.28 is: 970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,336.02 = 702.28 : x
  2. Step 2: Convert to fraction form
    967.24/1,336.02 = 702.28/x
  3. Step 3: Cross multiply
    967.24x = 1,336.02 × 702.28
  4. Step 4: Simplify right side
    967.24x = 938,260.13
  5. Step 5: Solve for x
    x = 938,260.13/967.24
  6. Step 6: Final answer
    x = 970.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.