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Finding the Fourth Proportional to 1,257.24, 1,885.80 and 641.19

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Solution

The fourth proportional to 1,257.24, 1,885.80 and 641.19 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.24 : 1,885.80 = 641.19 : x
  2. Step 2: Convert to fraction form
    1,257.24/1,885.80 = 641.19/x
  3. Step 3: Cross multiply
    1,257.24x = 1,885.80 × 641.19
  4. Step 4: Simplify right side
    1,257.24x = 1,209,156.10
  5. Step 5: Solve for x
    x = 1,209,156.10/1,257.24
  6. Step 6: Final answer
    x = 961.75

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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.