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Finding the Fourth Proportional to 1,218.96, 1,826.46 and 730.80

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Solution

The fourth proportional to 1,218.96, 1,826.46 and 730.80 is: 1,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,826.46 = 730.80 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,826.46 = 730.80/x
  3. Step 3: Cross multiply
    1,218.96x = 1,826.46 × 730.80
  4. Step 4: Simplify right side
    1,218.96x = 1,334,776.97
  5. Step 5: Solve for x
    x = 1,334,776.97/1,218.96
  6. Step 6: Final answer
    x = 1,095.01

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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.