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Finding the Fourth Proportional to 1,245.94, 1,869.61 and 466.48

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Solution

The fourth proportional to 1,245.94, 1,869.61 and 466.48 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.94 : 1,869.61 = 466.48 : x
  2. Step 2: Convert to fraction form
    1,245.94/1,869.61 = 466.48/x
  3. Step 3: Cross multiply
    1,245.94x = 1,869.61 × 466.48
  4. Step 4: Simplify right side
    1,245.94x = 872,135.67
  5. Step 5: Solve for x
    x = 872,135.67/1,245.94
  6. Step 6: Final answer
    x = 699.98

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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.