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Finding the Fourth Proportional to 1,643.85, 2,467.05 and 778.77

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Solution

The fourth proportional to 1,643.85, 2,467.05 and 778.77 is: 1,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.85 : 2,467.05 = 778.77 : x
  2. Step 2: Convert to fraction form
    1,643.85/2,467.05 = 778.77/x
  3. Step 3: Cross multiply
    1,643.85x = 2,467.05 × 778.77
  4. Step 4: Simplify right side
    1,643.85x = 1,921,264.53
  5. Step 5: Solve for x
    x = 1,921,264.53/1,643.85
  6. Step 6: Final answer
    x = 1,168.76

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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.