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Finding the Fourth Proportional to 1,219.04, 1,828.42 and 353.35

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Solution

The fourth proportional to 1,219.04, 1,828.42 and 353.35 is: 529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.04 : 1,828.42 = 353.35 : x
  2. Step 2: Convert to fraction form
    1,219.04/1,828.42 = 353.35/x
  3. Step 3: Cross multiply
    1,219.04x = 1,828.42 × 353.35
  4. Step 4: Simplify right side
    1,219.04x = 646,072.21
  5. Step 5: Solve for x
    x = 646,072.21/1,219.04
  6. Step 6: Final answer
    x = 529.98

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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.