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Finding the Fourth Proportional to 1,219.35, 1,682.98 and 1,019.96

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Solution

The fourth proportional to 1,219.35, 1,682.98 and 1,019.96 is: 1,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.35 : 1,682.98 = 1,019.96 : x
  2. Step 2: Convert to fraction form
    1,219.35/1,682.98 = 1,019.96/x
  3. Step 3: Cross multiply
    1,219.35x = 1,682.98 × 1,019.96
  4. Step 4: Simplify right side
    1,219.35x = 1,716,567.63
  5. Step 5: Solve for x
    x = 1,716,567.63/1,219.35
  6. Step 6: Final answer
    x = 1,407.77

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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.