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Finding the Fourth Proportional to 1,187.20, 1,779.60 and 700

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Solution

The fourth proportional to 1,187.20, 1,779.60 and 700 is: 1,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.20 : 1,779.60 = 700 : x
  2. Step 2: Convert to fraction form
    1,187.20/1,779.60 = 700/x
  3. Step 3: Cross multiply
    1,187.20x = 1,779.60 × 700
  4. Step 4: Simplify right side
    1,187.20x = 1,245,720
  5. Step 5: Solve for x
    x = 1,245,720/1,187.20
  6. Step 6: Final answer
    x = 1,049.29

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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.