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Finding the Fourth Proportional to 1,205.74, 1,808.43 and 383.91

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Solution

The fourth proportional to 1,205.74, 1,808.43 and 383.91 is: 575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.74 : 1,808.43 = 383.91 : x
  2. Step 2: Convert to fraction form
    1,205.74/1,808.43 = 383.91/x
  3. Step 3: Cross multiply
    1,205.74x = 1,808.43 × 383.91
  4. Step 4: Simplify right side
    1,205.74x = 694,266.14
  5. Step 5: Solve for x
    x = 694,266.14/1,205.74
  6. Step 6: Final answer
    x = 575.80

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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.