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Finding the Fourth Proportional to 965.99, 1,449.39 and 694.24

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Solution

The fourth proportional to 965.99, 1,449.39 and 694.24 is: 1,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.99 : 1,449.39 = 694.24 : x
  2. Step 2: Convert to fraction form
    965.99/1,449.39 = 694.24/x
  3. Step 3: Cross multiply
    965.99x = 1,449.39 × 694.24
  4. Step 4: Simplify right side
    965.99x = 1,006,224.51
  5. Step 5: Solve for x
    x = 1,006,224.51/965.99
  6. Step 6: Final answer
    x = 1,041.65

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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.