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Finding the Fourth Proportional to 1,219.22, 1,828.88 and 353.53

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Solution

The fourth proportional to 1,219.22, 1,828.88 and 353.53 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.22 : 1,828.88 = 353.53 : x
  2. Step 2: Convert to fraction form
    1,219.22/1,828.88 = 353.53/x
  3. Step 3: Cross multiply
    1,219.22x = 1,828.88 × 353.53
  4. Step 4: Simplify right side
    1,219.22x = 646,565.79
  5. Step 5: Solve for x
    x = 646,565.79/1,219.22
  6. Step 6: Final answer
    x = 530.31

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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.