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Finding the Fourth Proportional to 965.73, 1,448.98 and 349.48

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Solution

The fourth proportional to 965.73, 1,448.98 and 349.48 is: 524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.73 : 1,448.98 = 349.48 : x
  2. Step 2: Convert to fraction form
    965.73/1,448.98 = 349.48/x
  3. Step 3: Cross multiply
    965.73x = 1,448.98 × 349.48
  4. Step 4: Simplify right side
    965.73x = 506,392.43
  5. Step 5: Solve for x
    x = 506,392.43/965.73
  6. Step 6: Final answer
    x = 524.36

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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.