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Finding the Fourth Proportional to 1,313.23, 1,969.75 and 435.64

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Solution

The fourth proportional to 1,313.23, 1,969.75 and 435.64 is: 653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.23 : 1,969.75 = 435.64 : x
  2. Step 2: Convert to fraction form
    1,313.23/1,969.75 = 435.64/x
  3. Step 3: Cross multiply
    1,313.23x = 1,969.75 × 435.64
  4. Step 4: Simplify right side
    1,313.23x = 858,101.89
  5. Step 5: Solve for x
    x = 858,101.89/1,313.23
  6. Step 6: Final answer
    x = 653.43

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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.