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Finding the Fourth Proportional to 1,266.74, 1,900.14 and 750.38

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Solution

The fourth proportional to 1,266.74, 1,900.14 and 750.38 is: 1,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.74 : 1,900.14 = 750.38 : x
  2. Step 2: Convert to fraction form
    1,266.74/1,900.14 = 750.38/x
  3. Step 3: Cross multiply
    1,266.74x = 1,900.14 × 750.38
  4. Step 4: Simplify right side
    1,266.74x = 1,425,827.05
  5. Step 5: Solve for x
    x = 1,425,827.05/1,266.74
  6. Step 6: Final answer
    x = 1,125.59

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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.