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Finding the Fourth Proportional to 894.96, 1,342.80 and 408.24

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Solution

The fourth proportional to 894.96, 1,342.80 and 408.24 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.96 : 1,342.80 = 408.24 : x
  2. Step 2: Convert to fraction form
    894.96/1,342.80 = 408.24/x
  3. Step 3: Cross multiply
    894.96x = 1,342.80 × 408.24
  4. Step 4: Simplify right side
    894.96x = 548,184.67
  5. Step 5: Solve for x
    x = 548,184.67/894.96
  6. Step 6: Final answer
    x = 612.52

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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.