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Finding the Fourth Proportional to 751.46, 1,126.67 and 282.74

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Solution

The fourth proportional to 751.46, 1,126.67 and 282.74 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.46 : 1,126.67 = 282.74 : x
  2. Step 2: Convert to fraction form
    751.46/1,126.67 = 282.74/x
  3. Step 3: Cross multiply
    751.46x = 1,126.67 × 282.74
  4. Step 4: Simplify right side
    751.46x = 318,553.26
  5. Step 5: Solve for x
    x = 318,553.26/751.46
  6. Step 6: Final answer
    x = 423.91

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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.