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Finding the Fourth Proportional to 985.85, 1,478.97 and 824.66

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Solution

The fourth proportional to 985.85, 1,478.97 and 824.66 is: 1,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.85 : 1,478.97 = 824.66 : x
  2. Step 2: Convert to fraction form
    985.85/1,478.97 = 824.66/x
  3. Step 3: Cross multiply
    985.85x = 1,478.97 × 824.66
  4. Step 4: Simplify right side
    985.85x = 1,219,640.01
  5. Step 5: Solve for x
    x = 1,219,640.01/985.85
  6. Step 6: Final answer
    x = 1,237.15

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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.