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Finding the Fourth Proportional to 1,257.45, 1,884.60 and 641.40

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Solution

The fourth proportional to 1,257.45, 1,884.60 and 641.40 is: 961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.45 : 1,884.60 = 641.40 : x
  2. Step 2: Convert to fraction form
    1,257.45/1,884.60 = 641.40/x
  3. Step 3: Cross multiply
    1,257.45x = 1,884.60 × 641.40
  4. Step 4: Simplify right side
    1,257.45x = 1,208,782.44
  5. Step 5: Solve for x
    x = 1,208,782.44/1,257.45
  6. Step 6: Final answer
    x = 961.30

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1.5x scale

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.