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Finding the Fourth Proportional to 1,330.75, 1,996.60 and 964.90

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Solution

The fourth proportional to 1,330.75, 1,996.60 and 964.90 is: 1,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.75 : 1,996.60 = 964.90 : x
  2. Step 2: Convert to fraction form
    1,330.75/1,996.60 = 964.90/x
  3. Step 3: Cross multiply
    1,330.75x = 1,996.60 × 964.90
  4. Step 4: Simplify right side
    1,330.75x = 1,926,519.34
  5. Step 5: Solve for x
    x = 1,926,519.34/1,330.75
  6. Step 6: Final answer
    x = 1,447.69

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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.