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Finding the Fourth Proportional to 1,206.74, 1,809.99 and 385.60

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Solution

The fourth proportional to 1,206.74, 1,809.99 and 385.60 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.74 : 1,809.99 = 385.60 : x
  2. Step 2: Convert to fraction form
    1,206.74/1,809.99 = 385.60/x
  3. Step 3: Cross multiply
    1,206.74x = 1,809.99 × 385.60
  4. Step 4: Simplify right side
    1,206.74x = 697,932.14
  5. Step 5: Solve for x
    x = 697,932.14/1,206.74
  6. Step 6: Final answer
    x = 578.36

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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.