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Finding the Fourth Proportional to 1,214.54, 1,820.73 and 444.86

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Solution

The fourth proportional to 1,214.54, 1,820.73 and 444.86 is: 666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.54 : 1,820.73 = 444.86 : x
  2. Step 2: Convert to fraction form
    1,214.54/1,820.73 = 444.86/x
  3. Step 3: Cross multiply
    1,214.54x = 1,820.73 × 444.86
  4. Step 4: Simplify right side
    1,214.54x = 809,969.95
  5. Step 5: Solve for x
    x = 809,969.95/1,214.54
  6. Step 6: Final answer
    x = 666.89

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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.