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Finding the Fourth Proportional to 986.52, 1,478.82 and 824.52

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Solution

The fourth proportional to 986.52, 1,478.82 and 824.52 is: 1,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.52 : 1,478.82 = 824.52 : x
  2. Step 2: Convert to fraction form
    986.52/1,478.82 = 824.52/x
  3. Step 3: Cross multiply
    986.52x = 1,478.82 × 824.52
  4. Step 4: Simplify right side
    986.52x = 1,219,316.67
  5. Step 5: Solve for x
    x = 1,219,316.67/986.52
  6. Step 6: Final answer
    x = 1,235.98

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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.