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Finding the Fourth Proportional to 1,214.09, 1,820.96 and 392.91

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Solution

The fourth proportional to 1,214.09, 1,820.96 and 392.91 is: 589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.09 : 1,820.96 = 392.91 : x
  2. Step 2: Convert to fraction form
    1,214.09/1,820.96 = 392.91/x
  3. Step 3: Cross multiply
    1,214.09x = 1,820.96 × 392.91
  4. Step 4: Simplify right side
    1,214.09x = 715,471.43
  5. Step 5: Solve for x
    x = 715,471.43/1,214.09
  6. Step 6: Final answer
    x = 589.31

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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.