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Finding the Fourth Proportional to 1,385.71, 2,078.60 and 411.75

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Solution

The fourth proportional to 1,385.71, 2,078.60 and 411.75 is: 617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.71 : 2,078.60 = 411.75 : x
  2. Step 2: Convert to fraction form
    1,385.71/2,078.60 = 411.75/x
  3. Step 3: Cross multiply
    1,385.71x = 2,078.60 × 411.75
  4. Step 4: Simplify right side
    1,385.71x = 855,861.49
  5. Step 5: Solve for x
    x = 855,861.49/1,385.71
  6. Step 6: Final answer
    x = 617.64

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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.