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Finding the Fourth Proportional to 986.16, 1,478.70 and 523.86

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Solution

The fourth proportional to 986.16, 1,478.70 and 523.86 is: 785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.16 : 1,478.70 = 523.86 : x
  2. Step 2: Convert to fraction form
    986.16/1,478.70 = 523.86/x
  3. Step 3: Cross multiply
    986.16x = 1,478.70 × 523.86
  4. Step 4: Simplify right side
    986.16x = 774,631.78
  5. Step 5: Solve for x
    x = 774,631.78/986.16
  6. Step 6: Final answer
    x = 785.50

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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.