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Finding the Fourth Proportional to 1,313.75, 1,970.96 and 492.03

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Solution

The fourth proportional to 1,313.75, 1,970.96 and 492.03 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.75 : 1,970.96 = 492.03 : x
  2. Step 2: Convert to fraction form
    1,313.75/1,970.96 = 492.03/x
  3. Step 3: Cross multiply
    1,313.75x = 1,970.96 × 492.03
  4. Step 4: Simplify right side
    1,313.75x = 969,772.68
  5. Step 5: Solve for x
    x = 969,772.68/1,313.75
  6. Step 6: Final answer
    x = 738.17

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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.