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Finding the Fourth Proportional to 971.86, 1,457.26 and 664.06

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Solution

The fourth proportional to 971.86, 1,457.26 and 664.06 is: 995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.86 : 1,457.26 = 664.06 : x
  2. Step 2: Convert to fraction form
    971.86/1,457.26 = 664.06/x
  3. Step 3: Cross multiply
    971.86x = 1,457.26 × 664.06
  4. Step 4: Simplify right side
    971.86x = 967,710.89
  5. Step 5: Solve for x
    x = 967,710.89/971.86
  6. Step 6: Final answer
    x = 995.73

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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.