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Finding the Fourth Proportional to 965.56, 1,448.49 and 417.79

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Solution

The fourth proportional to 965.56, 1,448.49 and 417.79 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.56 : 1,448.49 = 417.79 : x
  2. Step 2: Convert to fraction form
    965.56/1,448.49 = 417.79/x
  3. Step 3: Cross multiply
    965.56x = 1,448.49 × 417.79
  4. Step 4: Simplify right side
    965.56x = 605,164.64
  5. Step 5: Solve for x
    x = 605,164.64/965.56
  6. Step 6: Final answer
    x = 626.75

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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.