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Finding the Fourth Proportional to 1,216.98, 1,826.35 and 486.77

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Solution

The fourth proportional to 1,216.98, 1,826.35 and 486.77 is: 730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.98 : 1,826.35 = 486.77 : x
  2. Step 2: Convert to fraction form
    1,216.98/1,826.35 = 486.77/x
  3. Step 3: Cross multiply
    1,216.98x = 1,826.35 × 486.77
  4. Step 4: Simplify right side
    1,216.98x = 889,012.39
  5. Step 5: Solve for x
    x = 889,012.39/1,216.98
  6. Step 6: Final answer
    x = 730.51

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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.