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Finding the Fourth Proportional to 741.72, 1,022.76 and 702.66

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Solution

The fourth proportional to 741.72, 1,022.76 and 702.66 is: 968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,022.76 = 702.66 : x
  2. Step 2: Convert to fraction form
    741.72/1,022.76 = 702.66/x
  3. Step 3: Cross multiply
    741.72x = 1,022.76 × 702.66
  4. Step 4: Simplify right side
    741.72x = 718,652.54
  5. Step 5: Solve for x
    x = 718,652.54/741.72
  6. Step 6: Final answer
    x = 968.90

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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.