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Finding the Fourth Proportional to 970.75, 1,455.63 and 321.25

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Solution

The fourth proportional to 970.75, 1,455.63 and 321.25 is: 481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.75 : 1,455.63 = 321.25 : x
  2. Step 2: Convert to fraction form
    970.75/1,455.63 = 321.25/x
  3. Step 3: Cross multiply
    970.75x = 1,455.63 × 321.25
  4. Step 4: Simplify right side
    970.75x = 467,621.14
  5. Step 5: Solve for x
    x = 467,621.14/970.75
  6. Step 6: Final answer
    x = 481.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.