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Finding the Fourth Proportional to 1,383.85, 2,076.35 and 561.91

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Solution

The fourth proportional to 1,383.85, 2,076.35 and 561.91 is: 843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.85 : 2,076.35 = 561.91 : x
  2. Step 2: Convert to fraction form
    1,383.85/2,076.35 = 561.91/x
  3. Step 3: Cross multiply
    1,383.85x = 2,076.35 × 561.91
  4. Step 4: Simplify right side
    1,383.85x = 1,166,708.64
  5. Step 5: Solve for x
    x = 1,166,708.64/1,383.85
  6. Step 6: Final answer
    x = 843.09

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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.