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Finding the Fourth Proportional to 1,407.03, 2,107.83 and 788.87

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Solution

The fourth proportional to 1,407.03, 2,107.83 and 788.87 is: 1,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.03 : 2,107.83 = 788.87 : x
  2. Step 2: Convert to fraction form
    1,407.03/2,107.83 = 788.87/x
  3. Step 3: Cross multiply
    1,407.03x = 2,107.83 × 788.87
  4. Step 4: Simplify right side
    1,407.03x = 1,662,793.31
  5. Step 5: Solve for x
    x = 1,662,793.31/1,407.03
  6. Step 6: Final answer
    x = 1,181.78

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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.