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Finding the Fourth Proportional to 1,091.19, 1,637.01 and 989.13

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Solution

The fourth proportional to 1,091.19, 1,637.01 and 989.13 is: 1,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.19 : 1,637.01 = 989.13 : x
  2. Step 2: Convert to fraction form
    1,091.19/1,637.01 = 989.13/x
  3. Step 3: Cross multiply
    1,091.19x = 1,637.01 × 989.13
  4. Step 4: Simplify right side
    1,091.19x = 1,619,212.63
  5. Step 5: Solve for x
    x = 1,619,212.63/1,091.19
  6. Step 6: Final answer
    x = 1,483.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.