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Finding the Fourth Proportional to 971.83, 1,457 and 485.22

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Solution

The fourth proportional to 971.83, 1,457 and 485.22 is: 727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.83 : 1,457 = 485.22 : x
  2. Step 2: Convert to fraction form
    971.83/1,457 = 485.22/x
  3. Step 3: Cross multiply
    971.83x = 1,457 × 485.22
  4. Step 4: Simplify right side
    971.83x = 706,965.54
  5. Step 5: Solve for x
    x = 706,965.54/971.83
  6. Step 6: Final answer
    x = 727.46

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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.