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Finding the Fourth Proportional to 960.99, 1,436.22 and 701.54

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Solution

The fourth proportional to 960.99, 1,436.22 and 701.54 is: 1,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.99 : 1,436.22 = 701.54 : x
  2. Step 2: Convert to fraction form
    960.99/1,436.22 = 701.54/x
  3. Step 3: Cross multiply
    960.99x = 1,436.22 × 701.54
  4. Step 4: Simplify right side
    960.99x = 1,007,561.40
  5. Step 5: Solve for x
    x = 1,007,561.40/960.99
  6. Step 6: Final answer
    x = 1,048.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.