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Finding the Fourth Proportional to 735.10, 1,012.14 and 694.49

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Solution

The fourth proportional to 735.10, 1,012.14 and 694.49 is: 956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,012.14 = 694.49 : x
  2. Step 2: Convert to fraction form
    735.10/1,012.14 = 694.49/x
  3. Step 3: Cross multiply
    735.10x = 1,012.14 × 694.49
  4. Step 4: Simplify right side
    735.10x = 702,921.11
  5. Step 5: Solve for x
    x = 702,921.11/735.10
  6. Step 6: Final answer
    x = 956.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.