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Finding the Fourth Proportional to 716.67, 1,075.41 and 427.50

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Solution

The fourth proportional to 716.67, 1,075.41 and 427.50 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.67 : 1,075.41 = 427.50 : x
  2. Step 2: Convert to fraction form
    716.67/1,075.41 = 427.50/x
  3. Step 3: Cross multiply
    716.67x = 1,075.41 × 427.50
  4. Step 4: Simplify right side
    716.67x = 459,737.78
  5. Step 5: Solve for x
    x = 459,737.78/716.67
  6. Step 6: Final answer
    x = 641.49

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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.