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Finding the Fourth Proportional to 1,214.73, 1,821.93 and 434.70

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Solution

The fourth proportional to 1,214.73, 1,821.93 and 434.70 is: 651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.73 : 1,821.93 = 434.70 : x
  2. Step 2: Convert to fraction form
    1,214.73/1,821.93 = 434.70/x
  3. Step 3: Cross multiply
    1,214.73x = 1,821.93 × 434.70
  4. Step 4: Simplify right side
    1,214.73x = 791,992.97
  5. Step 5: Solve for x
    x = 791,992.97/1,214.73
  6. Step 6: Final answer
    x = 651.99

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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.