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Finding the Fourth Proportional to 1,330.12, 1,995.06 and 464.44

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Solution

The fourth proportional to 1,330.12, 1,995.06 and 464.44 is: 696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.12 : 1,995.06 = 464.44 : x
  2. Step 2: Convert to fraction form
    1,330.12/1,995.06 = 464.44/x
  3. Step 3: Cross multiply
    1,330.12x = 1,995.06 × 464.44
  4. Step 4: Simplify right side
    1,330.12x = 926,585.67
  5. Step 5: Solve for x
    x = 926,585.67/1,330.12
  6. Step 6: Final answer
    x = 696.62

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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.