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Finding the Fourth Proportional to 1,406.55, 2,107.13 and 788.38

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Solution

The fourth proportional to 1,406.55, 2,107.13 and 788.38 is: 1,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.55 : 2,107.13 = 788.38 : x
  2. Step 2: Convert to fraction form
    1,406.55/2,107.13 = 788.38/x
  3. Step 3: Cross multiply
    1,406.55x = 2,107.13 × 788.38
  4. Step 4: Simplify right side
    1,406.55x = 1,661,219.15
  5. Step 5: Solve for x
    x = 1,661,219.15/1,406.55
  6. Step 6: Final answer
    x = 1,181.06

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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.