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Finding the Fourth Proportional to 948.91, 1,423.54 and 454.90

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Solution

The fourth proportional to 948.91, 1,423.54 and 454.90 is: 682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.91 : 1,423.54 = 454.90 : x
  2. Step 2: Convert to fraction form
    948.91/1,423.54 = 454.90/x
  3. Step 3: Cross multiply
    948.91x = 1,423.54 × 454.90
  4. Step 4: Simplify right side
    948.91x = 647,568.01
  5. Step 5: Solve for x
    x = 647,568.01/948.91
  6. Step 6: Final answer
    x = 682.43

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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.