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Finding the Fourth Proportional to 971.73, 1,457.24 and 415.85

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Solution

The fourth proportional to 971.73, 1,457.24 and 415.85 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.73 : 1,457.24 = 415.85 : x
  2. Step 2: Convert to fraction form
    971.73/1,457.24 = 415.85/x
  3. Step 3: Cross multiply
    971.73x = 1,457.24 × 415.85
  4. Step 4: Simplify right side
    971.73x = 605,983.89
  5. Step 5: Solve for x
    x = 605,983.89/971.73
  6. Step 6: Final answer
    x = 623.61

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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.