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Finding the Fourth Proportional to 966.18, 1,448.11 and 445.47

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Solution

The fourth proportional to 966.18, 1,448.11 and 445.47 is: 667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.18 : 1,448.11 = 445.47 : x
  2. Step 2: Convert to fraction form
    966.18/1,448.11 = 445.47/x
  3. Step 3: Cross multiply
    966.18x = 1,448.11 × 445.47
  4. Step 4: Simplify right side
    966.18x = 645,089.56
  5. Step 5: Solve for x
    x = 645,089.56/966.18
  6. Step 6: Final answer
    x = 667.67

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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.