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Finding the Fourth Proportional to 1,230.12, 1,697.67 and 706.23

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Solution

The fourth proportional to 1,230.12, 1,697.67 and 706.23 is: 974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.12 : 1,697.67 = 706.23 : x
  2. Step 2: Convert to fraction form
    1,230.12/1,697.67 = 706.23/x
  3. Step 3: Cross multiply
    1,230.12x = 1,697.67 × 706.23
  4. Step 4: Simplify right side
    1,230.12x = 1,198,945.48
  5. Step 5: Solve for x
    x = 1,198,945.48/1,230.12
  6. Step 6: Final answer
    x = 974.66

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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.