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Finding the Fourth Proportional to 985.62, 1,478.64 and 408.50

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Solution

The fourth proportional to 985.62, 1,478.64 and 408.50 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.62 : 1,478.64 = 408.50 : x
  2. Step 2: Convert to fraction form
    985.62/1,478.64 = 408.50/x
  3. Step 3: Cross multiply
    985.62x = 1,478.64 × 408.50
  4. Step 4: Simplify right side
    985.62x = 604,024.44
  5. Step 5: Solve for x
    x = 604,024.44/985.62
  6. Step 6: Final answer
    x = 612.84

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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.