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Finding the Fourth Proportional to 960.51, 1,325.48 and 699.63

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Solution

The fourth proportional to 960.51, 1,325.48 and 699.63 is: 965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.51 : 1,325.48 = 699.63 : x
  2. Step 2: Convert to fraction form
    960.51/1,325.48 = 699.63/x
  3. Step 3: Cross multiply
    960.51x = 1,325.48 × 699.63
  4. Step 4: Simplify right side
    960.51x = 927,342.07
  5. Step 5: Solve for x
    x = 927,342.07/960.51
  6. Step 6: Final answer
    x = 965.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.