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Finding the Fourth Proportional to 1,249.16, 1,870.37 and 699.77

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Solution

The fourth proportional to 1,249.16, 1,870.37 and 699.77 is: 1,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.16 : 1,870.37 = 699.77 : x
  2. Step 2: Convert to fraction form
    1,249.16/1,870.37 = 699.77/x
  3. Step 3: Cross multiply
    1,249.16x = 1,870.37 × 699.77
  4. Step 4: Simplify right side
    1,249.16x = 1,308,815.96
  5. Step 5: Solve for x
    x = 1,308,815.96/1,249.16
  6. Step 6: Final answer
    x = 1,047.76

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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.