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Finding the Fourth Proportional to 971.66, 1,457.84 and 451.94

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Solution

The fourth proportional to 971.66, 1,457.84 and 451.94 is: 678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,457.84 = 451.94 : x
  2. Step 2: Convert to fraction form
    971.66/1,457.84 = 451.94/x
  3. Step 3: Cross multiply
    971.66x = 1,457.84 × 451.94
  4. Step 4: Simplify right side
    971.66x = 658,850.05
  5. Step 5: Solve for x
    x = 658,850.05/971.66
  6. Step 6: Final answer
    x = 678.07

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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.