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Finding the Fourth Proportional to 716.25, 1,074.83 and 283.40

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Solution

The fourth proportional to 716.25, 1,074.83 and 283.40 is: 425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.25 : 1,074.83 = 283.40 : x
  2. Step 2: Convert to fraction form
    716.25/1,074.83 = 283.40/x
  3. Step 3: Cross multiply
    716.25x = 1,074.83 × 283.40
  4. Step 4: Simplify right side
    716.25x = 304,600.03
  5. Step 5: Solve for x
    x = 304,600.03/716.25
  6. Step 6: Final answer
    x = 425.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.