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Finding the Fourth Proportional to 716.56, 1,075.32 and 283.92

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Solution

The fourth proportional to 716.56, 1,075.32 and 283.92 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.56 : 1,075.32 = 283.92 : x
  2. Step 2: Convert to fraction form
    716.56/1,075.32 = 283.92/x
  3. Step 3: Cross multiply
    716.56x = 1,075.32 × 283.92
  4. Step 4: Simplify right side
    716.56x = 305,304.85
  5. Step 5: Solve for x
    x = 305,304.85/716.56
  6. Step 6: Final answer
    x = 426.07

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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.