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Finding the Fourth Proportional to 1,476.10, 2,215.44 and 783.27

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Solution

The fourth proportional to 1,476.10, 2,215.44 and 783.27 is: 1,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.10 : 2,215.44 = 783.27 : x
  2. Step 2: Convert to fraction form
    1,476.10/2,215.44 = 783.27/x
  3. Step 3: Cross multiply
    1,476.10x = 2,215.44 × 783.27
  4. Step 4: Simplify right side
    1,476.10x = 1,735,287.69
  5. Step 5: Solve for x
    x = 1,735,287.69/1,476.10
  6. Step 6: Final answer
    x = 1,175.59

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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.