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Finding the Fourth Proportional to 1,266.22, 1,899.56 and 573.22

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Solution

The fourth proportional to 1,266.22, 1,899.56 and 573.22 is: 859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.22 : 1,899.56 = 573.22 : x
  2. Step 2: Convert to fraction form
    1,266.22/1,899.56 = 573.22/x
  3. Step 3: Cross multiply
    1,266.22x = 1,899.56 × 573.22
  4. Step 4: Simplify right side
    1,266.22x = 1,088,856.29
  5. Step 5: Solve for x
    x = 1,088,856.29/1,266.22
  6. Step 6: Final answer
    x = 859.93

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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.