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Finding the Fourth Proportional to 1,313.45, 1,969.67 and 435.69

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Solution

The fourth proportional to 1,313.45, 1,969.67 and 435.69 is: 653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.45 : 1,969.67 = 435.69 : x
  2. Step 2: Convert to fraction form
    1,313.45/1,969.67 = 435.69/x
  3. Step 3: Cross multiply
    1,313.45x = 1,969.67 × 435.69
  4. Step 4: Simplify right side
    1,313.45x = 858,165.52
  5. Step 5: Solve for x
    x = 858,165.52/1,313.45
  6. Step 6: Final answer
    x = 653.37

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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.