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Finding the Fourth Proportional to 716.72, 1,075.37 and 284.18

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Solution

The fourth proportional to 716.72, 1,075.37 and 284.18 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.72 : 1,075.37 = 284.18 : x
  2. Step 2: Convert to fraction form
    716.72/1,075.37 = 284.18/x
  3. Step 3: Cross multiply
    716.72x = 1,075.37 × 284.18
  4. Step 4: Simplify right side
    716.72x = 305,591.85
  5. Step 5: Solve for x
    x = 305,591.85/716.72
  6. Step 6: Final answer
    x = 426.38

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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.