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Finding the Fourth Proportional to 1,305.97, 1,958.94 and 332.06

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Solution

The fourth proportional to 1,305.97, 1,958.94 and 332.06 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.97 : 1,958.94 = 332.06 : x
  2. Step 2: Convert to fraction form
    1,305.97/1,958.94 = 332.06/x
  3. Step 3: Cross multiply
    1,305.97x = 1,958.94 × 332.06
  4. Step 4: Simplify right side
    1,305.97x = 650,475.82
  5. Step 5: Solve for x
    x = 650,475.82/1,305.97
  6. Step 6: Final answer
    x = 498.08

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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.