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Finding the Fourth Proportional to 1,404.72, 2,107.14 and 378.72

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Solution

The fourth proportional to 1,404.72, 2,107.14 and 378.72 is: 568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.72 : 2,107.14 = 378.72 : x
  2. Step 2: Convert to fraction form
    1,404.72/2,107.14 = 378.72/x
  3. Step 3: Cross multiply
    1,404.72x = 2,107.14 × 378.72
  4. Step 4: Simplify right side
    1,404.72x = 798,016.06
  5. Step 5: Solve for x
    x = 798,016.06/1,404.72
  6. Step 6: Final answer
    x = 568.10

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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.