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Finding the Fourth Proportional to 716.34, 1,074.97 and 283.50

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Solution

The fourth proportional to 716.34, 1,074.97 and 283.50 is: 425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.34 : 1,074.97 = 283.50 : x
  2. Step 2: Convert to fraction form
    716.34/1,074.97 = 283.50/x
  3. Step 3: Cross multiply
    716.34x = 1,074.97 × 283.50
  4. Step 4: Simplify right side
    716.34x = 304,754.35
  5. Step 5: Solve for x
    x = 304,754.35/716.34
  6. Step 6: Final answer
    x = 425.43

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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.