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Finding the Fourth Proportional to 1,483.87, 2,225.94 and 388.25

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Solution

The fourth proportional to 1,483.87, 2,225.94 and 388.25 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.87 : 2,225.94 = 388.25 : x
  2. Step 2: Convert to fraction form
    1,483.87/2,225.94 = 388.25/x
  3. Step 3: Cross multiply
    1,483.87x = 2,225.94 × 388.25
  4. Step 4: Simplify right side
    1,483.87x = 864,221.21
  5. Step 5: Solve for x
    x = 864,221.21/1,483.87
  6. Step 6: Final answer
    x = 582.41

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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.