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Finding the Fourth Proportional to 965.75, 1,448.73 and 307.58

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Solution

The fourth proportional to 965.75, 1,448.73 and 307.58 is: 461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.75 : 1,448.73 = 307.58 : x
  2. Step 2: Convert to fraction form
    965.75/1,448.73 = 307.58/x
  3. Step 3: Cross multiply
    965.75x = 1,448.73 × 307.58
  4. Step 4: Simplify right side
    965.75x = 445,593.13
  5. Step 5: Solve for x
    x = 445,593.13/965.75
  6. Step 6: Final answer
    x = 461.40

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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.