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Finding the Fourth Proportional to 1,214.80, 1,821.62 and 444.76

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Solution

The fourth proportional to 1,214.80, 1,821.62 and 444.76 is: 666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.80 : 1,821.62 = 444.76 : x
  2. Step 2: Convert to fraction form
    1,214.80/1,821.62 = 444.76/x
  3. Step 3: Cross multiply
    1,214.80x = 1,821.62 × 444.76
  4. Step 4: Simplify right side
    1,214.80x = 810,183.71
  5. Step 5: Solve for x
    x = 810,183.71/1,214.80
  6. Step 6: Final answer
    x = 666.93

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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.