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Finding the Fourth Proportional to 1,230.72, 1,696.56 and 1,018.32

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Solution

The fourth proportional to 1,230.72, 1,696.56 and 1,018.32 is: 1,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.72 : 1,696.56 = 1,018.32 : x
  2. Step 2: Convert to fraction form
    1,230.72/1,696.56 = 1,018.32/x
  3. Step 3: Cross multiply
    1,230.72x = 1,696.56 × 1,018.32
  4. Step 4: Simplify right side
    1,230.72x = 1,727,640.98
  5. Step 5: Solve for x
    x = 1,727,640.98/1,230.72
  6. Step 6: Final answer
    x = 1,403.76

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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.