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Finding the Fourth Proportional to 1,285.35, 1,774.89 and 1,219.74

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Solution

The fourth proportional to 1,285.35, 1,774.89 and 1,219.74 is: 1,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.35 : 1,774.89 = 1,219.74 : x
  2. Step 2: Convert to fraction form
    1,285.35/1,774.89 = 1,219.74/x
  3. Step 3: Cross multiply
    1,285.35x = 1,774.89 × 1,219.74
  4. Step 4: Simplify right side
    1,285.35x = 2,164,904.33
  5. Step 5: Solve for x
    x = 2,164,904.33/1,285.35
  6. Step 6: Final answer
    x = 1,684.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.