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Finding the Fourth Proportional to 1,305.69, 1,958.58 and 656.07

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Solution

The fourth proportional to 1,305.69, 1,958.58 and 656.07 is: 984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.69 : 1,958.58 = 656.07 : x
  2. Step 2: Convert to fraction form
    1,305.69/1,958.58 = 656.07/x
  3. Step 3: Cross multiply
    1,305.69x = 1,958.58 × 656.07
  4. Step 4: Simplify right side
    1,305.69x = 1,284,965.58
  5. Step 5: Solve for x
    x = 1,284,965.58/1,305.69
  6. Step 6: Final answer
    x = 984.13

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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.