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Finding the Fourth Proportional to 1,313.26, 1,970.09 and 447.50

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Solution

The fourth proportional to 1,313.26, 1,970.09 and 447.50 is: 671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.26 : 1,970.09 = 447.50 : x
  2. Step 2: Convert to fraction form
    1,313.26/1,970.09 = 447.50/x
  3. Step 3: Cross multiply
    1,313.26x = 1,970.09 × 447.50
  4. Step 4: Simplify right side
    1,313.26x = 881,615.28
  5. Step 5: Solve for x
    x = 881,615.28/1,313.26
  6. Step 6: Final answer
    x = 671.32

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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.