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Finding the Fourth Proportional to 702.21, 1,058.39 and 662.52

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Solution

The fourth proportional to 702.21, 1,058.39 and 662.52 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.21 : 1,058.39 = 662.52 : x
  2. Step 2: Convert to fraction form
    702.21/1,058.39 = 662.52/x
  3. Step 3: Cross multiply
    702.21x = 1,058.39 × 662.52
  4. Step 4: Simplify right side
    702.21x = 701,204.54
  5. Step 5: Solve for x
    x = 701,204.54/702.21
  6. Step 6: Final answer
    x = 998.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.