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Finding the Fourth Proportional to 840.10, 1,257.20 and 665.22

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Solution

The fourth proportional to 840.10, 1,257.20 and 665.22 is: 995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.10 : 1,257.20 = 665.22 : x
  2. Step 2: Convert to fraction form
    840.10/1,257.20 = 665.22/x
  3. Step 3: Cross multiply
    840.10x = 1,257.20 × 665.22
  4. Step 4: Simplify right side
    840.10x = 836,314.58
  5. Step 5: Solve for x
    x = 836,314.58/840.10
  6. Step 6: Final answer
    x = 995.49

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Double scale
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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.