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Finding the Fourth Proportional to 1,257.12, 1,886.78 and 599.80

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Solution

The fourth proportional to 1,257.12, 1,886.78 and 599.80 is: 900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.12 : 1,886.78 = 599.80 : x
  2. Step 2: Convert to fraction form
    1,257.12/1,886.78 = 599.80/x
  3. Step 3: Cross multiply
    1,257.12x = 1,886.78 × 599.80
  4. Step 4: Simplify right side
    1,257.12x = 1,131,690.64
  5. Step 5: Solve for x
    x = 1,131,690.64/1,257.12
  6. Step 6: Final answer
    x = 900.22

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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.