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Finding the Fourth Proportional to 734.24, 1,093.42 and 702.66

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Solution

The fourth proportional to 734.24, 1,093.42 and 702.66 is: 1,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.24 : 1,093.42 = 702.66 : x
  2. Step 2: Convert to fraction form
    734.24/1,093.42 = 702.66/x
  3. Step 3: Cross multiply
    734.24x = 1,093.42 × 702.66
  4. Step 4: Simplify right side
    734.24x = 768,302.50
  5. Step 5: Solve for x
    x = 768,302.50/734.24
  6. Step 6: Final answer
    x = 1,046.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.