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Finding the Fourth Proportional to 950.33, 1,424.55 and 456.60

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Solution

The fourth proportional to 950.33, 1,424.55 and 456.60 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.33 : 1,424.55 = 456.60 : x
  2. Step 2: Convert to fraction form
    950.33/1,424.55 = 456.60/x
  3. Step 3: Cross multiply
    950.33x = 1,424.55 × 456.60
  4. Step 4: Simplify right side
    950.33x = 650,445.90
  5. Step 5: Solve for x
    x = 650,445.90/950.33
  6. Step 6: Final answer
    x = 684.45

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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.