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Finding the Fourth Proportional to 985.92, 1,478.31 and 523.92

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Solution

The fourth proportional to 985.92, 1,478.31 and 523.92 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.92 : 1,478.31 = 523.92 : x
  2. Step 2: Convert to fraction form
    985.92/1,478.31 = 523.92/x
  3. Step 3: Cross multiply
    985.92x = 1,478.31 × 523.92
  4. Step 4: Simplify right side
    985.92x = 774,516.18
  5. Step 5: Solve for x
    x = 774,516.18/985.92
  6. Step 6: Final answer
    x = 785.58

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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.