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Finding the Fourth Proportional to 716.24, 1,074.09 and 325.91

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Solution

The fourth proportional to 716.24, 1,074.09 and 325.91 is: 488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 1,074.09 = 325.91 : x
  2. Step 2: Convert to fraction form
    716.24/1,074.09 = 325.91/x
  3. Step 3: Cross multiply
    716.24x = 1,074.09 × 325.91
  4. Step 4: Simplify right side
    716.24x = 350,051.30
  5. Step 5: Solve for x
    x = 350,051.30/716.24
  6. Step 6: Final answer
    x = 488.74

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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.