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Finding the Fourth Proportional to 1,219.99, 1,828.67 and 526.98

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Solution

The fourth proportional to 1,219.99, 1,828.67 and 526.98 is: 789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.99 : 1,828.67 = 526.98 : x
  2. Step 2: Convert to fraction form
    1,219.99/1,828.67 = 526.98/x
  3. Step 3: Cross multiply
    1,219.99x = 1,828.67 × 526.98
  4. Step 4: Simplify right side
    1,219.99x = 963,678.72
  5. Step 5: Solve for x
    x = 963,678.72/1,219.99
  6. Step 6: Final answer
    x = 789.91

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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.