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Finding the Fourth Proportional to 716.45, 1,073.27 and 407.37

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Solution

The fourth proportional to 716.45, 1,073.27 and 407.37 is: 610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.45 : 1,073.27 = 407.37 : x
  2. Step 2: Convert to fraction form
    716.45/1,073.27 = 407.37/x
  3. Step 3: Cross multiply
    716.45x = 1,073.27 × 407.37
  4. Step 4: Simplify right side
    716.45x = 437,215.96
  5. Step 5: Solve for x
    x = 437,215.96/716.45
  6. Step 6: Final answer
    x = 610.26

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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.