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Finding the Fourth Proportional to 1,313.64, 1,969.50 and 480.42

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Solution

The fourth proportional to 1,313.64, 1,969.50 and 480.42 is: 720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,969.50 = 480.42 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,969.50 = 480.42/x
  3. Step 3: Cross multiply
    1,313.64x = 1,969.50 × 480.42
  4. Step 4: Simplify right side
    1,313.64x = 946,187.19
  5. Step 5: Solve for x
    x = 946,187.19/1,313.64
  6. Step 6: Final answer
    x = 720.28

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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.