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Finding the Fourth Proportional to 1,189.03, 1,649.82 and 1,155.01

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Solution

The fourth proportional to 1,189.03, 1,649.82 and 1,155.01 is: 1,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.03 : 1,649.82 = 1,155.01 : x
  2. Step 2: Convert to fraction form
    1,189.03/1,649.82 = 1,155.01/x
  3. Step 3: Cross multiply
    1,189.03x = 1,649.82 × 1,155.01
  4. Step 4: Simplify right side
    1,189.03x = 1,905,544.57
  5. Step 5: Solve for x
    x = 1,905,544.57/1,189.03
  6. Step 6: Final answer
    x = 1,602.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.