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Finding the Fourth Proportional to 1,187.46, 1,779.37 and 699.98

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Solution

The fourth proportional to 1,187.46, 1,779.37 and 699.98 is: 1,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.46 : 1,779.37 = 699.98 : x
  2. Step 2: Convert to fraction form
    1,187.46/1,779.37 = 699.98/x
  3. Step 3: Cross multiply
    1,187.46x = 1,779.37 × 699.98
  4. Step 4: Simplify right side
    1,187.46x = 1,245,512.77
  5. Step 5: Solve for x
    x = 1,245,512.77/1,187.46
  6. Step 6: Final answer
    x = 1,048.89

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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.