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Finding the Fourth Proportional to 1,266.29, 1,899.37 and 388.75

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Solution

The fourth proportional to 1,266.29, 1,899.37 and 388.75 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.29 : 1,899.37 = 388.75 : x
  2. Step 2: Convert to fraction form
    1,266.29/1,899.37 = 388.75/x
  3. Step 3: Cross multiply
    1,266.29x = 1,899.37 × 388.75
  4. Step 4: Simplify right side
    1,266.29x = 738,374.37
  5. Step 5: Solve for x
    x = 738,374.37/1,266.29
  6. Step 6: Final answer
    x = 583.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.