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Finding the Fourth Proportional to 716.77, 1,075.52 and 284.23

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Solution

The fourth proportional to 716.77, 1,075.52 and 284.23 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.77 : 1,075.52 = 284.23 : x
  2. Step 2: Convert to fraction form
    716.77/1,075.52 = 284.23/x
  3. Step 3: Cross multiply
    716.77x = 1,075.52 × 284.23
  4. Step 4: Simplify right side
    716.77x = 305,695.05
  5. Step 5: Solve for x
    x = 305,695.05/716.77
  6. Step 6: Final answer
    x = 426.49

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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.