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Finding the Fourth Proportional to 742.94, 1,024.86 and 480.50

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Solution

The fourth proportional to 742.94, 1,024.86 and 480.50 is: 662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.94 : 1,024.86 = 480.50 : x
  2. Step 2: Convert to fraction form
    742.94/1,024.86 = 480.50/x
  3. Step 3: Cross multiply
    742.94x = 1,024.86 × 480.50
  4. Step 4: Simplify right side
    742.94x = 492,445.23
  5. Step 5: Solve for x
    x = 492,445.23/742.94
  6. Step 6: Final answer
    x = 662.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.