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Finding the Fourth Proportional to 1,383.18, 2,074.97 and 561.27

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Solution

The fourth proportional to 1,383.18, 2,074.97 and 561.27 is: 841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.18 : 2,074.97 = 561.27 : x
  2. Step 2: Convert to fraction form
    1,383.18/2,074.97 = 561.27/x
  3. Step 3: Cross multiply
    1,383.18x = 2,074.97 × 561.27
  4. Step 4: Simplify right side
    1,383.18x = 1,164,615.61
  5. Step 5: Solve for x
    x = 1,164,615.61/1,383.18
  6. Step 6: Final answer
    x = 841.98

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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.