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Finding the Fourth Proportional to 971.75, 1,457.63 and 416.38

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Solution

The fourth proportional to 971.75, 1,457.63 and 416.38 is: 624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.75 : 1,457.63 = 416.38 : x
  2. Step 2: Convert to fraction form
    971.75/1,457.63 = 416.38/x
  3. Step 3: Cross multiply
    971.75x = 1,457.63 × 416.38
  4. Step 4: Simplify right side
    971.75x = 606,927.98
  5. Step 5: Solve for x
    x = 606,927.98/971.75
  6. Step 6: Final answer
    x = 624.57

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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.