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Finding the Fourth Proportional to 1,442.75, 1,990.22 and 965.03

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Solution

The fourth proportional to 1,442.75, 1,990.22 and 965.03 is: 1,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.75 : 1,990.22 = 965.03 : x
  2. Step 2: Convert to fraction form
    1,442.75/1,990.22 = 965.03/x
  3. Step 3: Cross multiply
    1,442.75x = 1,990.22 × 965.03
  4. Step 4: Simplify right side
    1,442.75x = 1,920,622.01
  5. Step 5: Solve for x
    x = 1,920,622.01/1,442.75
  6. Step 6: Final answer
    x = 1,331.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.