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Finding the Fourth Proportional to 1,483.89, 2,225.62 and 388.33

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Solution

The fourth proportional to 1,483.89, 2,225.62 and 388.33 is: 582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.89 : 2,225.62 = 388.33 : x
  2. Step 2: Convert to fraction form
    1,483.89/2,225.62 = 388.33/x
  3. Step 3: Cross multiply
    1,483.89x = 2,225.62 × 388.33
  4. Step 4: Simplify right side
    1,483.89x = 864,275.01
  5. Step 5: Solve for x
    x = 864,275.01/1,483.89
  6. Step 6: Final answer
    x = 582.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.