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Finding the Fourth Proportional to 971.90, 1,457.06 and 452.23

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Solution

The fourth proportional to 971.90, 1,457.06 and 452.23 is: 677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.90 : 1,457.06 = 452.23 : x
  2. Step 2: Convert to fraction form
    971.90/1,457.06 = 452.23/x
  3. Step 3: Cross multiply
    971.90x = 1,457.06 × 452.23
  4. Step 4: Simplify right side
    971.90x = 658,920.34
  5. Step 5: Solve for x
    x = 658,920.34/971.90
  6. Step 6: Final answer
    x = 677.97

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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.