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Finding the Fourth Proportional to 986.00, 1,478.58 and 523.68

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Solution

The fourth proportional to 986.00, 1,478.58 and 523.68 is: 785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.00 : 1,478.58 = 523.68 : x
  2. Step 2: Convert to fraction form
    986.00/1,478.58 = 523.68/x
  3. Step 3: Cross multiply
    986.00x = 1,478.58 × 523.68
  4. Step 4: Simplify right side
    986.00x = 774,300.81
  5. Step 5: Solve for x
    x = 774,300.81/986.00
  6. Step 6: Final answer
    x = 785.29

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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.