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Finding the Fourth Proportional to 1,483.03, 2,225.72 and 559.33

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Solution

The fourth proportional to 1,483.03, 2,225.72 and 559.33 is: 839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.03 : 2,225.72 = 559.33 : x
  2. Step 2: Convert to fraction form
    1,483.03/2,225.72 = 559.33/x
  3. Step 3: Cross multiply
    1,483.03x = 2,225.72 × 559.33
  4. Step 4: Simplify right side
    1,483.03x = 1,244,911.97
  5. Step 5: Solve for x
    x = 1,244,911.97/1,483.03
  6. Step 6: Final answer
    x = 839.44

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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.