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Finding the Fourth Proportional to 960.42, 1,448.60 and 846.29

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Solution

The fourth proportional to 960.42, 1,448.60 and 846.29 is: 1,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.42 : 1,448.60 = 846.29 : x
  2. Step 2: Convert to fraction form
    960.42/1,448.60 = 846.29/x
  3. Step 3: Cross multiply
    960.42x = 1,448.60 × 846.29
  4. Step 4: Simplify right side
    960.42x = 1,225,935.69
  5. Step 5: Solve for x
    x = 1,225,935.69/960.42
  6. Step 6: Final answer
    x = 1,276.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.