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Finding the Fourth Proportional to 1,385.45, 2,078.57 and 411.57

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Solution

The fourth proportional to 1,385.45, 2,078.57 and 411.57 is: 617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.45 : 2,078.57 = 411.57 : x
  2. Step 2: Convert to fraction form
    1,385.45/2,078.57 = 411.57/x
  3. Step 3: Cross multiply
    1,385.45x = 2,078.57 × 411.57
  4. Step 4: Simplify right side
    1,385.45x = 855,477.05
  5. Step 5: Solve for x
    x = 855,477.05/1,385.45
  6. Step 6: Final answer
    x = 617.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.