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Finding the Fourth Proportional to 945.92, 1,418.48 and 458.72

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Solution

The fourth proportional to 945.92, 1,418.48 and 458.72 is: 687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.92 : 1,418.48 = 458.72 : x
  2. Step 2: Convert to fraction form
    945.92/1,418.48 = 458.72/x
  3. Step 3: Cross multiply
    945.92x = 1,418.48 × 458.72
  4. Step 4: Simplify right side
    945.92x = 650,685.15
  5. Step 5: Solve for x
    x = 650,685.15/945.92
  6. Step 6: Final answer
    x = 687.89

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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.