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Finding the Fourth Proportional to 824.69, 1,237.08 and 680.15

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Solution

The fourth proportional to 824.69, 1,237.08 and 680.15 is: 1,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.69 : 1,237.08 = 680.15 : x
  2. Step 2: Convert to fraction form
    824.69/1,237.08 = 680.15/x
  3. Step 3: Cross multiply
    824.69x = 1,237.08 × 680.15
  4. Step 4: Simplify right side
    824.69x = 841,399.96
  5. Step 5: Solve for x
    x = 841,399.96/824.69
  6. Step 6: Final answer
    x = 1,020.26

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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.