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Finding the Fourth Proportional to 1,207.46, 1,811.33 and 385.45

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Solution

The fourth proportional to 1,207.46, 1,811.33 and 385.45 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.46 : 1,811.33 = 385.45 : x
  2. Step 2: Convert to fraction form
    1,207.46/1,811.33 = 385.45/x
  3. Step 3: Cross multiply
    1,207.46x = 1,811.33 × 385.45
  4. Step 4: Simplify right side
    1,207.46x = 698,172.14
  5. Step 5: Solve for x
    x = 698,172.14/1,207.46
  6. Step 6: Final answer
    x = 578.21

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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.