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Finding the Fourth Proportional to 986.65, 1,478.69 and 523.45

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Solution

The fourth proportional to 986.65, 1,478.69 and 523.45 is: 784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.65 : 1,478.69 = 523.45 : x
  2. Step 2: Convert to fraction form
    986.65/1,478.69 = 523.45/x
  3. Step 3: Cross multiply
    986.65x = 1,478.69 × 523.45
  4. Step 4: Simplify right side
    986.65x = 774,020.28
  5. Step 5: Solve for x
    x = 774,020.28/986.65
  6. Step 6: Final answer
    x = 784.49

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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.