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Finding the Fourth Proportional to 965.79, 1,448.67 and 307.65

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Solution

The fourth proportional to 965.79, 1,448.67 and 307.65 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.79 : 1,448.67 = 307.65 : x
  2. Step 2: Convert to fraction form
    965.79/1,448.67 = 307.65/x
  3. Step 3: Cross multiply
    965.79x = 1,448.67 × 307.65
  4. Step 4: Simplify right side
    965.79x = 445,683.33
  5. Step 5: Solve for x
    x = 445,683.33/965.79
  6. Step 6: Final answer
    x = 461.47

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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.