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Finding the Fourth Proportional to 716.56, 1,072.44 and 460.24

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Solution

The fourth proportional to 716.56, 1,072.44 and 460.24 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.56 : 1,072.44 = 460.24 : x
  2. Step 2: Convert to fraction form
    716.56/1,072.44 = 460.24/x
  3. Step 3: Cross multiply
    716.56x = 1,072.44 × 460.24
  4. Step 4: Simplify right side
    716.56x = 493,579.79
  5. Step 5: Solve for x
    x = 493,579.79/716.56
  6. Step 6: Final answer
    x = 688.82

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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.