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Finding the Fourth Proportional to 1,309.42, 1,964.58 and 659.98

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Solution

The fourth proportional to 1,309.42, 1,964.58 and 659.98 is: 990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.42 : 1,964.58 = 659.98 : x
  2. Step 2: Convert to fraction form
    1,309.42/1,964.58 = 659.98/x
  3. Step 3: Cross multiply
    1,309.42x = 1,964.58 × 659.98
  4. Step 4: Simplify right side
    1,309.42x = 1,296,583.51
  5. Step 5: Solve for x
    x = 1,296,583.51/1,309.42
  6. Step 6: Final answer
    x = 990.20

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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.