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Finding the Fourth Proportional to 1,218.58, 1,828.90 and 525.77

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Solution

The fourth proportional to 1,218.58, 1,828.90 and 525.77 is: 789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.58 : 1,828.90 = 525.77 : x
  2. Step 2: Convert to fraction form
    1,218.58/1,828.90 = 525.77/x
  3. Step 3: Cross multiply
    1,218.58x = 1,828.90 × 525.77
  4. Step 4: Simplify right side
    1,218.58x = 961,571.02
  5. Step 5: Solve for x
    x = 961,571.02/1,218.58
  6. Step 6: Final answer
    x = 789.09

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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.