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Finding the Fourth Proportional to 1,305.85, 1,958.64 and 440.14

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Solution

The fourth proportional to 1,305.85, 1,958.64 and 440.14 is: 660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.85 : 1,958.64 = 440.14 : x
  2. Step 2: Convert to fraction form
    1,305.85/1,958.64 = 440.14/x
  3. Step 3: Cross multiply
    1,305.85x = 1,958.64 × 440.14
  4. Step 4: Simplify right side
    1,305.85x = 862,075.81
  5. Step 5: Solve for x
    x = 862,075.81/1,305.85
  6. Step 6: Final answer
    x = 660.16

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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.