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Finding the Fourth Proportional to 1,266.51, 1,900.61 and 444.78

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Solution

The fourth proportional to 1,266.51, 1,900.61 and 444.78 is: 667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.51 : 1,900.61 = 444.78 : x
  2. Step 2: Convert to fraction form
    1,266.51/1,900.61 = 444.78/x
  3. Step 3: Cross multiply
    1,266.51x = 1,900.61 × 444.78
  4. Step 4: Simplify right side
    1,266.51x = 845,353.32
  5. Step 5: Solve for x
    x = 845,353.32/1,266.51
  6. Step 6: Final answer
    x = 667.47

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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.