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Finding the Fourth Proportional to 1,305.49, 1,958.34 and 565.15

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Solution

The fourth proportional to 1,305.49, 1,958.34 and 565.15 is: 847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.49 : 1,958.34 = 565.15 : x
  2. Step 2: Convert to fraction form
    1,305.49/1,958.34 = 565.15/x
  3. Step 3: Cross multiply
    1,305.49x = 1,958.34 × 565.15
  4. Step 4: Simplify right side
    1,305.49x = 1,106,755.85
  5. Step 5: Solve for x
    x = 1,106,755.85/1,305.49
  6. Step 6: Final answer
    x = 847.77

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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.