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Finding the Fourth Proportional to 1,193.90, 1,646.44 and 914.15

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Solution

The fourth proportional to 1,193.90, 1,646.44 and 914.15 is: 1,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.90 : 1,646.44 = 914.15 : x
  2. Step 2: Convert to fraction form
    1,193.90/1,646.44 = 914.15/x
  3. Step 3: Cross multiply
    1,193.90x = 1,646.44 × 914.15
  4. Step 4: Simplify right side
    1,193.90x = 1,505,093.13
  5. Step 5: Solve for x
    x = 1,505,093.13/1,193.90
  6. Step 6: Final answer
    x = 1,260.65

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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.