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Finding the Fourth Proportional to 960.65, 1,326.29 and 739.16

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Solution

The fourth proportional to 960.65, 1,326.29 and 739.16 is: 1,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.65 : 1,326.29 = 739.16 : x
  2. Step 2: Convert to fraction form
    960.65/1,326.29 = 739.16/x
  3. Step 3: Cross multiply
    960.65x = 1,326.29 × 739.16
  4. Step 4: Simplify right side
    960.65x = 980,340.52
  5. Step 5: Solve for x
    x = 980,340.52/960.65
  6. Step 6: Final answer
    x = 1,020.50

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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.