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Finding the Fourth Proportional to 950.03, 1,425.45 and 463.09

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Solution

The fourth proportional to 950.03, 1,425.45 and 463.09 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.03 : 1,425.45 = 463.09 : x
  2. Step 2: Convert to fraction form
    950.03/1,425.45 = 463.09/x
  3. Step 3: Cross multiply
    950.03x = 1,425.45 × 463.09
  4. Step 4: Simplify right side
    950.03x = 660,111.64
  5. Step 5: Solve for x
    x = 660,111.64/950.03
  6. Step 6: Final answer
    x = 694.83

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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.