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Finding the Fourth Proportional to 1,257.06, 1,885.02 and 641.10

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Solution

The fourth proportional to 1,257.06, 1,885.02 and 641.10 is: 961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.06 : 1,885.02 = 641.10 : x
  2. Step 2: Convert to fraction form
    1,257.06/1,885.02 = 641.10/x
  3. Step 3: Cross multiply
    1,257.06x = 1,885.02 × 641.10
  4. Step 4: Simplify right side
    1,257.06x = 1,208,486.32
  5. Step 5: Solve for x
    x = 1,208,486.32/1,257.06
  6. Step 6: Final answer
    x = 961.36

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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.