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Finding the Fourth Proportional to 965.92, 1,448.34 and 417.76

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Solution

The fourth proportional to 965.92, 1,448.34 and 417.76 is: 626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.92 : 1,448.34 = 417.76 : x
  2. Step 2: Convert to fraction form
    965.92/1,448.34 = 417.76/x
  3. Step 3: Cross multiply
    965.92x = 1,448.34 × 417.76
  4. Step 4: Simplify right side
    965.92x = 605,058.52
  5. Step 5: Solve for x
    x = 605,058.52/965.92
  6. Step 6: Final answer
    x = 626.41

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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.