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Finding the Fourth Proportional to 716.44, 1,073.82 and 283.72

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Solution

The fourth proportional to 716.44, 1,073.82 and 283.72 is: 425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.44 : 1,073.82 = 283.72 : x
  2. Step 2: Convert to fraction form
    716.44/1,073.82 = 283.72/x
  3. Step 3: Cross multiply
    716.44x = 1,073.82 × 283.72
  4. Step 4: Simplify right side
    716.44x = 304,664.21
  5. Step 5: Solve for x
    x = 304,664.21/716.44
  6. Step 6: Final answer
    x = 425.25

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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.