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Finding the Fourth Proportional to 716.52, 1,075.26 and 283.68

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Solution

The fourth proportional to 716.52, 1,075.26 and 283.68 is: 425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.52 : 1,075.26 = 283.68 : x
  2. Step 2: Convert to fraction form
    716.52/1,075.26 = 283.68/x
  3. Step 3: Cross multiply
    716.52x = 1,075.26 × 283.68
  4. Step 4: Simplify right side
    716.52x = 305,029.76
  5. Step 5: Solve for x
    x = 305,029.76/716.52
  6. Step 6: Final answer
    x = 425.71

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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.