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Finding the Fourth Proportional to 948.72, 1,423.26 and 462

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Solution

The fourth proportional to 948.72, 1,423.26 and 462 is: 693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.72 : 1,423.26 = 462 : x
  2. Step 2: Convert to fraction form
    948.72/1,423.26 = 462/x
  3. Step 3: Cross multiply
    948.72x = 1,423.26 × 462
  4. Step 4: Simplify right side
    948.72x = 657,546.12
  5. Step 5: Solve for x
    x = 657,546.12/948.72
  6. Step 6: Final answer
    x = 693.09

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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.