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Finding the Fourth Proportional to 1,476.13, 2,212.78 and 551.06

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Solution

The fourth proportional to 1,476.13, 2,212.78 and 551.06 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.13 : 2,212.78 = 551.06 : x
  2. Step 2: Convert to fraction form
    1,476.13/2,212.78 = 551.06/x
  3. Step 3: Cross multiply
    1,476.13x = 2,212.78 × 551.06
  4. Step 4: Simplify right side
    1,476.13x = 1,219,374.55
  5. Step 5: Solve for x
    x = 1,219,374.55/1,476.13
  6. Step 6: Final answer
    x = 826.06

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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.