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Finding the Fourth Proportional to 1,266.26, 1,900.02 and 573.42

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Solution

The fourth proportional to 1,266.26, 1,900.02 and 573.42 is: 860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.26 : 1,900.02 = 573.42 : x
  2. Step 2: Convert to fraction form
    1,266.26/1,900.02 = 573.42/x
  3. Step 3: Cross multiply
    1,266.26x = 1,900.02 × 573.42
  4. Step 4: Simplify right side
    1,266.26x = 1,089,509.47
  5. Step 5: Solve for x
    x = 1,089,509.47/1,266.26
  6. Step 6: Final answer
    x = 860.42

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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.