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Finding the Fourth Proportional to 716.67, 1,075.01 and 196.68

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Solution

The fourth proportional to 716.67, 1,075.01 and 196.68 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.67 : 1,075.01 = 196.68 : x
  2. Step 2: Convert to fraction form
    716.67/1,075.01 = 196.68/x
  3. Step 3: Cross multiply
    716.67x = 1,075.01 × 196.68
  4. Step 4: Simplify right side
    716.67x = 211,426.61
  5. Step 5: Solve for x
    x = 211,426.61/716.67
  6. Step 6: Final answer
    x = 295.01

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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.