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Finding the Fourth Proportional to 1,046.66, 1,441.44 and 1,023.98

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Solution

The fourth proportional to 1,046.66, 1,441.44 and 1,023.98 is: 1,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.66 : 1,441.44 = 1,023.98 : x
  2. Step 2: Convert to fraction form
    1,046.66/1,441.44 = 1,023.98/x
  3. Step 3: Cross multiply
    1,046.66x = 1,441.44 × 1,023.98
  4. Step 4: Simplify right side
    1,046.66x = 1,476,005.73
  5. Step 5: Solve for x
    x = 1,476,005.73/1,046.66
  6. Step 6: Final answer
    x = 1,410.21

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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.