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Finding the Fourth Proportional to 716.83, 1,073.52 and 407.75

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Solution

The fourth proportional to 716.83, 1,073.52 and 407.75 is: 610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.83 : 1,073.52 = 407.75 : x
  2. Step 2: Convert to fraction form
    716.83/1,073.52 = 407.75/x
  3. Step 3: Cross multiply
    716.83x = 1,073.52 × 407.75
  4. Step 4: Simplify right side
    716.83x = 437,725.33
  5. Step 5: Solve for x
    x = 437,725.33/716.83
  6. Step 6: Final answer
    x = 610.64

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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.