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Finding the Fourth Proportional to 965.87, 1,449.05 and 417.92

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Solution

The fourth proportional to 965.87, 1,449.05 and 417.92 is: 626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.87 : 1,449.05 = 417.92 : x
  2. Step 2: Convert to fraction form
    965.87/1,449.05 = 417.92/x
  3. Step 3: Cross multiply
    965.87x = 1,449.05 × 417.92
  4. Step 4: Simplify right side
    965.87x = 605,586.98
  5. Step 5: Solve for x
    x = 605,586.98/965.87
  6. Step 6: Final answer
    x = 626.99

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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.