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Finding the Fourth Proportional to 674.51, 1,012.37 and 284.80

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Solution

The fourth proportional to 674.51, 1,012.37 and 284.80 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 1,012.37 = 284.80 : x
  2. Step 2: Convert to fraction form
    674.51/1,012.37 = 284.80/x
  3. Step 3: Cross multiply
    674.51x = 1,012.37 × 284.80
  4. Step 4: Simplify right side
    674.51x = 288,322.98
  5. Step 5: Solve for x
    x = 288,322.98/674.51
  6. Step 6: Final answer
    x = 427.46

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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.