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Finding the Fourth Proportional to 716.53, 1,075.19 and 283.99

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Solution

The fourth proportional to 716.53, 1,075.19 and 283.99 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.53 : 1,075.19 = 283.99 : x
  2. Step 2: Convert to fraction form
    716.53/1,075.19 = 283.99/x
  3. Step 3: Cross multiply
    716.53x = 1,075.19 × 283.99
  4. Step 4: Simplify right side
    716.53x = 305,343.21
  5. Step 5: Solve for x
    x = 305,343.21/716.53
  6. Step 6: Final answer
    x = 426.14

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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.