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Finding the Fourth Proportional to 1,100.98, 1,518.21 and 944.14

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Solution

The fourth proportional to 1,100.98, 1,518.21 and 944.14 is: 1,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.98 : 1,518.21 = 944.14 : x
  2. Step 2: Convert to fraction form
    1,100.98/1,518.21 = 944.14/x
  3. Step 3: Cross multiply
    1,100.98x = 1,518.21 × 944.14
  4. Step 4: Simplify right side
    1,100.98x = 1,433,402.79
  5. Step 5: Solve for x
    x = 1,433,402.79/1,100.98
  6. Step 6: Final answer
    x = 1,301.93

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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.