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Finding the Fourth Proportional to 945.81, 1,304.64 and 696.60

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Solution

The fourth proportional to 945.81, 1,304.64 and 696.60 is: 960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,304.64 = 696.60 : x
  2. Step 2: Convert to fraction form
    945.81/1,304.64 = 696.60/x
  3. Step 3: Cross multiply
    945.81x = 1,304.64 × 696.60
  4. Step 4: Simplify right side
    945.81x = 908,812.22
  5. Step 5: Solve for x
    x = 908,812.22/945.81
  6. Step 6: Final answer
    x = 960.88

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1.5x scale

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.