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Finding the Fourth Proportional to 1,305.33, 1,956.72 and 439.17

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Solution

The fourth proportional to 1,305.33, 1,956.72 and 439.17 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.33 : 1,956.72 = 439.17 : x
  2. Step 2: Convert to fraction form
    1,305.33/1,956.72 = 439.17/x
  3. Step 3: Cross multiply
    1,305.33x = 1,956.72 × 439.17
  4. Step 4: Simplify right side
    1,305.33x = 859,332.72
  5. Step 5: Solve for x
    x = 859,332.72/1,305.33
  6. Step 6: Final answer
    x = 658.33

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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.