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Finding the Fourth Proportional to 986.98, 1,479.98 and 576.24

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Solution

The fourth proportional to 986.98, 1,479.98 and 576.24 is: 864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.98 : 1,479.98 = 576.24 : x
  2. Step 2: Convert to fraction form
    986.98/1,479.98 = 576.24/x
  3. Step 3: Cross multiply
    986.98x = 1,479.98 × 576.24
  4. Step 4: Simplify right side
    986.98x = 852,813.39
  5. Step 5: Solve for x
    x = 852,813.39/986.98
  6. Step 6: Final answer
    x = 864.07

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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.