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Finding the Fourth Proportional to 1,219.84, 1,830.56 and 450.34

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Solution

The fourth proportional to 1,219.84, 1,830.56 and 450.34 is: 675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.84 : 1,830.56 = 450.34 : x
  2. Step 2: Convert to fraction form
    1,219.84/1,830.56 = 450.34/x
  3. Step 3: Cross multiply
    1,219.84x = 1,830.56 × 450.34
  4. Step 4: Simplify right side
    1,219.84x = 824,374.39
  5. Step 5: Solve for x
    x = 824,374.39/1,219.84
  6. Step 6: Final answer
    x = 675.81

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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.