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Finding the Fourth Proportional to 950.89, 1,424.95 and 463.39

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Solution

The fourth proportional to 950.89, 1,424.95 and 463.39 is: 694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.89 : 1,424.95 = 463.39 : x
  2. Step 2: Convert to fraction form
    950.89/1,424.95 = 463.39/x
  3. Step 3: Cross multiply
    950.89x = 1,424.95 × 463.39
  4. Step 4: Simplify right side
    950.89x = 660,307.58
  5. Step 5: Solve for x
    x = 660,307.58/950.89
  6. Step 6: Final answer
    x = 694.41

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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.