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Finding the Fourth Proportional to 965.76, 1,448.84 and 417.84

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Solution

The fourth proportional to 965.76, 1,448.84 and 417.84 is: 626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.76 : 1,448.84 = 417.84 : x
  2. Step 2: Convert to fraction form
    965.76/1,448.84 = 417.84/x
  3. Step 3: Cross multiply
    965.76x = 1,448.84 × 417.84
  4. Step 4: Simplify right side
    965.76x = 605,383.31
  5. Step 5: Solve for x
    x = 605,383.31/965.76
  6. Step 6: Final answer
    x = 626.85

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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.