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Finding the Fourth Proportional to 716.37, 1,075.25 and 443.00

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Solution

The fourth proportional to 716.37, 1,075.25 and 443.00 is: 664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.37 : 1,075.25 = 443.00 : x
  2. Step 2: Convert to fraction form
    716.37/1,075.25 = 443.00/x
  3. Step 3: Cross multiply
    716.37x = 1,075.25 × 443.00
  4. Step 4: Simplify right side
    716.37x = 476,328.16
  5. Step 5: Solve for x
    x = 476,328.16/716.37
  6. Step 6: Final answer
    x = 664.92

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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.