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Finding the Fourth Proportional to 716.93, 1,075.92 and 284.21

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Solution

The fourth proportional to 716.93, 1,075.92 and 284.21 is: 426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.93 : 1,075.92 = 284.21 : x
  2. Step 2: Convert to fraction form
    716.93/1,075.92 = 284.21/x
  3. Step 3: Cross multiply
    716.93x = 1,075.92 × 284.21
  4. Step 4: Simplify right side
    716.93x = 305,787.22
  5. Step 5: Solve for x
    x = 305,787.22/716.93
  6. Step 6: Final answer
    x = 426.52

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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.