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Finding the Fourth Proportional to 1,219.53, 1,829.07 and 439.35

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Solution

The fourth proportional to 1,219.53, 1,829.07 and 439.35 is: 658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.53 : 1,829.07 = 439.35 : x
  2. Step 2: Convert to fraction form
    1,219.53/1,829.07 = 439.35/x
  3. Step 3: Cross multiply
    1,219.53x = 1,829.07 × 439.35
  4. Step 4: Simplify right side
    1,219.53x = 803,601.90
  5. Step 5: Solve for x
    x = 803,601.90/1,219.53
  6. Step 6: Final answer
    x = 658.94

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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.