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Finding the Fourth Proportional to 971.11, 1,457.37 and 728.29

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Solution

The fourth proportional to 971.11, 1,457.37 and 728.29 is: 1,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.11 : 1,457.37 = 728.29 : x
  2. Step 2: Convert to fraction form
    971.11/1,457.37 = 728.29/x
  3. Step 3: Cross multiply
    971.11x = 1,457.37 × 728.29
  4. Step 4: Simplify right side
    971.11x = 1,061,377.07
  5. Step 5: Solve for x
    x = 1,061,377.07/971.11
  6. Step 6: Final answer
    x = 1,092.96

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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.