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Finding the Fourth Proportional to 1,306, 1,958.32 and 440

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Solution

The fourth proportional to 1,306, 1,958.32 and 440 is: 659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306 : 1,958.32 = 440 : x
  2. Step 2: Convert to fraction form
    1,306/1,958.32 = 440/x
  3. Step 3: Cross multiply
    1,306x = 1,958.32 × 440
  4. Step 4: Simplify right side
    1,306x = 861,660.80
  5. Step 5: Solve for x
    x = 861,660.80/1,306
  6. Step 6: Final answer
    x = 659.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.