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Finding the Fourth Proportional to 965.50, 1,448.24 and 348.97

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Solution

The fourth proportional to 965.50, 1,448.24 and 348.97 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.50 : 1,448.24 = 348.97 : x
  2. Step 2: Convert to fraction form
    965.50/1,448.24 = 348.97/x
  3. Step 3: Cross multiply
    965.50x = 1,448.24 × 348.97
  4. Step 4: Simplify right side
    965.50x = 505,390.57
  5. Step 5: Solve for x
    x = 505,390.57/965.50
  6. Step 6: Final answer
    x = 523.45

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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.