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Finding the Fourth Proportional to 716.67, 1,075.82 and 284.13

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Solution

The fourth proportional to 716.67, 1,075.82 and 284.13 is: 426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.67 : 1,075.82 = 284.13 : x
  2. Step 2: Convert to fraction form
    716.67/1,075.82 = 284.13/x
  3. Step 3: Cross multiply
    716.67x = 1,075.82 × 284.13
  4. Step 4: Simplify right side
    716.67x = 305,671.32
  5. Step 5: Solve for x
    x = 305,671.32/716.67
  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.