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Finding the Fourth Proportional to 971.38, 1,457.27 and 537.63

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Solution

The fourth proportional to 971.38, 1,457.27 and 537.63 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.38 : 1,457.27 = 537.63 : x
  2. Step 2: Convert to fraction form
    971.38/1,457.27 = 537.63/x
  3. Step 3: Cross multiply
    971.38x = 1,457.27 × 537.63
  4. Step 4: Simplify right side
    971.38x = 783,472.07
  5. Step 5: Solve for x
    x = 783,472.07/971.38
  6. Step 6: Final answer
    x = 806.56

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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.