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Finding the Fourth Proportional to 1,309.16, 1,964.04 and 443.47

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Solution

The fourth proportional to 1,309.16, 1,964.04 and 443.47 is: 665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.16 : 1,964.04 = 443.47 : x
  2. Step 2: Convert to fraction form
    1,309.16/1,964.04 = 443.47/x
  3. Step 3: Cross multiply
    1,309.16x = 1,964.04 × 443.47
  4. Step 4: Simplify right side
    1,309.16x = 870,992.82
  5. Step 5: Solve for x
    x = 870,992.82/1,309.16
  6. Step 6: Final answer
    x = 665.31

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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.