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Finding the Fourth Proportional to 1,451.20, 2,175.99 and 477.22

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Solution

The fourth proportional to 1,451.20, 2,175.99 and 477.22 is: 715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.20 : 2,175.99 = 477.22 : x
  2. Step 2: Convert to fraction form
    1,451.20/2,175.99 = 477.22/x
  3. Step 3: Cross multiply
    1,451.20x = 2,175.99 × 477.22
  4. Step 4: Simplify right side
    1,451.20x = 1,038,425.95
  5. Step 5: Solve for x
    x = 1,038,425.95/1,451.20
  6. Step 6: Final answer
    x = 715.56

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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.