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Finding the Fourth Proportional to 716.83, 1,075.26 and 254.77

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Solution

The fourth proportional to 716.83, 1,075.26 and 254.77 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.83 : 1,075.26 = 254.77 : x
  2. Step 2: Convert to fraction form
    716.83/1,075.26 = 254.77/x
  3. Step 3: Cross multiply
    716.83x = 1,075.26 × 254.77
  4. Step 4: Simplify right side
    716.83x = 273,943.99
  5. Step 5: Solve for x
    x = 273,943.99/716.83
  6. Step 6: Final answer
    x = 382.16

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Why These Related Problems?

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