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Finding the Fourth Proportional to 986.34, 1,478.10 and 523.71

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Solution

The fourth proportional to 986.34, 1,478.10 and 523.71 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.34 : 1,478.10 = 523.71 : x
  2. Step 2: Convert to fraction form
    986.34/1,478.10 = 523.71/x
  3. Step 3: Cross multiply
    986.34x = 1,478.10 × 523.71
  4. Step 4: Simplify right side
    986.34x = 774,095.75
  5. Step 5: Solve for x
    x = 774,095.75/986.34
  6. Step 6: Final answer
    x = 784.82

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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.