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Finding the Fourth Proportional to 1,390.72, 1,919.52 and 866.44

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Solution

The fourth proportional to 1,390.72, 1,919.52 and 866.44 is: 1,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.72 : 1,919.52 = 866.44 : x
  2. Step 2: Convert to fraction form
    1,390.72/1,919.52 = 866.44/x
  3. Step 3: Cross multiply
    1,390.72x = 1,919.52 × 866.44
  4. Step 4: Simplify right side
    1,390.72x = 1,663,148.91
  5. Step 5: Solve for x
    x = 1,663,148.91/1,390.72
  6. Step 6: Final answer
    x = 1,195.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.