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Finding the Fourth Proportional to 1,245.36, 1,868.44 and 424.14

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Solution

The fourth proportional to 1,245.36, 1,868.44 and 424.14 is: 636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.36 : 1,868.44 = 424.14 : x
  2. Step 2: Convert to fraction form
    1,245.36/1,868.44 = 424.14/x
  3. Step 3: Cross multiply
    1,245.36x = 1,868.44 × 424.14
  4. Step 4: Simplify right side
    1,245.36x = 792,480.14
  5. Step 5: Solve for x
    x = 792,480.14/1,245.36
  6. Step 6: Final answer
    x = 636.35

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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.