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Finding the Fourth Proportional to 1,476.22, 2,214.13 and 436.33

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Solution

The fourth proportional to 1,476.22, 2,214.13 and 436.33 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.22 : 2,214.13 = 436.33 : x
  2. Step 2: Convert to fraction form
    1,476.22/2,214.13 = 436.33/x
  3. Step 3: Cross multiply
    1,476.22x = 2,214.13 × 436.33
  4. Step 4: Simplify right side
    1,476.22x = 966,080.27
  5. Step 5: Solve for x
    x = 966,080.27/1,476.22
  6. Step 6: Final answer
    x = 654.43

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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.