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Finding the Fourth Proportional to 1,207.67, 1,811.63 and 385.75

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Solution

The fourth proportional to 1,207.67, 1,811.63 and 385.75 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.67 : 1,811.63 = 385.75 : x
  2. Step 2: Convert to fraction form
    1,207.67/1,811.63 = 385.75/x
  3. Step 3: Cross multiply
    1,207.67x = 1,811.63 × 385.75
  4. Step 4: Simplify right side
    1,207.67x = 698,827.21
  5. Step 5: Solve for x
    x = 698,827.21/1,207.67
  6. Step 6: Final answer
    x = 578.66

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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.