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Finding the Fourth Proportional to 1,219.80, 1,828.39 and 526.79

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Solution

The fourth proportional to 1,219.80, 1,828.39 and 526.79 is: 789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.80 : 1,828.39 = 526.79 : x
  2. Step 2: Convert to fraction form
    1,219.80/1,828.39 = 526.79/x
  3. Step 3: Cross multiply
    1,219.80x = 1,828.39 × 526.79
  4. Step 4: Simplify right side
    1,219.80x = 963,184.25
  5. Step 5: Solve for x
    x = 963,184.25/1,219.80
  6. Step 6: Final answer
    x = 789.62

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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.