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Finding the Fourth Proportional to 741.72, 1,118.21 and 702.03

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Solution

The fourth proportional to 741.72, 1,118.21 and 702.03 is: 1,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,118.21 = 702.03 : x
  2. Step 2: Convert to fraction form
    741.72/1,118.21 = 702.03/x
  3. Step 3: Cross multiply
    741.72x = 1,118.21 × 702.03
  4. Step 4: Simplify right side
    741.72x = 785,013.46
  5. Step 5: Solve for x
    x = 785,013.46/741.72
  6. Step 6: Final answer
    x = 1,058.37

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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.