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Finding the Fourth Proportional to 1,249.42, 1,875.21 and 672.70

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Solution

The fourth proportional to 1,249.42, 1,875.21 and 672.70 is: 1,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.42 : 1,875.21 = 672.70 : x
  2. Step 2: Convert to fraction form
    1,249.42/1,875.21 = 672.70/x
  3. Step 3: Cross multiply
    1,249.42x = 1,875.21 × 672.70
  4. Step 4: Simplify right side
    1,249.42x = 1,261,453.77
  5. Step 5: Solve for x
    x = 1,261,453.77/1,249.42
  6. Step 6: Final answer
    x = 1,009.63

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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.