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Finding the Fourth Proportional to 971.75, 1,457.64 and 287.75

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Solution

The fourth proportional to 971.75, 1,457.64 and 287.75 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.75 : 1,457.64 = 287.75 : x
  2. Step 2: Convert to fraction form
    971.75/1,457.64 = 287.75/x
  3. Step 3: Cross multiply
    971.75x = 1,457.64 × 287.75
  4. Step 4: Simplify right side
    971.75x = 419,435.91
  5. Step 5: Solve for x
    x = 419,435.91/971.75
  6. Step 6: Final answer
    x = 431.63

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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.