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Finding the Fourth Proportional to 1,018.23, 1,402.14 and 944.73

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Solution

The fourth proportional to 1,018.23, 1,402.14 and 944.73 is: 1,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.23 : 1,402.14 = 944.73 : x
  2. Step 2: Convert to fraction form
    1,018.23/1,402.14 = 944.73/x
  3. Step 3: Cross multiply
    1,018.23x = 1,402.14 × 944.73
  4. Step 4: Simplify right side
    1,018.23x = 1,324,643.72
  5. Step 5: Solve for x
    x = 1,324,643.72/1,018.23
  6. Step 6: Final answer
    x = 1,300.93

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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.