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Finding the Fourth Proportional to 716.24, 1,075.73 and 444.23

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Solution

The fourth proportional to 716.24, 1,075.73 and 444.23 is: 667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 1,075.73 = 444.23 : x
  2. Step 2: Convert to fraction form
    716.24/1,075.73 = 444.23/x
  3. Step 3: Cross multiply
    716.24x = 1,075.73 × 444.23
  4. Step 4: Simplify right side
    716.24x = 477,876.52
  5. Step 5: Solve for x
    x = 477,876.52/716.24
  6. Step 6: Final answer
    x = 667.20

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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.