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Finding the Fourth Proportional to 736.06, 1,012.52 and 706.09

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Solution

The fourth proportional to 736.06, 1,012.52 and 706.09 is: 971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.06 : 1,012.52 = 706.09 : x
  2. Step 2: Convert to fraction form
    736.06/1,012.52 = 706.09/x
  3. Step 3: Cross multiply
    736.06x = 1,012.52 × 706.09
  4. Step 4: Simplify right side
    736.06x = 714,930.25
  5. Step 5: Solve for x
    x = 714,930.25/736.06
  6. Step 6: Final answer
    x = 971.29

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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.