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Finding the Fourth Proportional to 1,245.90, 1,869.39 and 515.64

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Solution

The fourth proportional to 1,245.90, 1,869.39 and 515.64 is: 773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.90 : 1,869.39 = 515.64 : x
  2. Step 2: Convert to fraction form
    1,245.90/1,869.39 = 515.64/x
  3. Step 3: Cross multiply
    1,245.90x = 1,869.39 × 515.64
  4. Step 4: Simplify right side
    1,245.90x = 963,932.26
  5. Step 5: Solve for x
    x = 963,932.26/1,245.90
  6. Step 6: Final answer
    x = 773.68

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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.