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Finding the Fourth Proportional to 971.90, 1,457.69 and 451.88

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Solution

The fourth proportional to 971.90, 1,457.69 and 451.88 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.90 : 1,457.69 = 451.88 : x
  2. Step 2: Convert to fraction form
    971.90/1,457.69 = 451.88/x
  3. Step 3: Cross multiply
    971.90x = 1,457.69 × 451.88
  4. Step 4: Simplify right side
    971.90x = 658,700.96
  5. Step 5: Solve for x
    x = 658,700.96/971.90
  6. Step 6: Final answer
    x = 677.75

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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.