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Finding the Fourth Proportional to 966.92, 1,448.43 and 446.19

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Solution

The fourth proportional to 966.92, 1,448.43 and 446.19 is: 668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.92 : 1,448.43 = 446.19 : x
  2. Step 2: Convert to fraction form
    966.92/1,448.43 = 446.19/x
  3. Step 3: Cross multiply
    966.92x = 1,448.43 × 446.19
  4. Step 4: Simplify right side
    966.92x = 646,267.88
  5. Step 5: Solve for x
    x = 646,267.88/966.92
  6. Step 6: Final answer
    x = 668.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.