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Finding the Fourth Proportional to 965.63, 1,448.04 and 380.54

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Solution

The fourth proportional to 965.63, 1,448.04 and 380.54 is: 570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.63 : 1,448.04 = 380.54 : x
  2. Step 2: Convert to fraction form
    965.63/1,448.04 = 380.54/x
  3. Step 3: Cross multiply
    965.63x = 1,448.04 × 380.54
  4. Step 4: Simplify right side
    965.63x = 551,037.14
  5. Step 5: Solve for x
    x = 551,037.14/965.63
  6. Step 6: Final answer
    x = 570.65

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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.