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Finding the Fourth Proportional to 676.32, 1,020.48 and 651

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Solution

The fourth proportional to 676.32, 1,020.48 and 651 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 1,020.48 = 651 : x
  2. Step 2: Convert to fraction form
    676.32/1,020.48 = 651/x
  3. Step 3: Cross multiply
    676.32x = 1,020.48 × 651
  4. Step 4: Simplify right side
    676.32x = 664,332.48
  5. Step 5: Solve for x
    x = 664,332.48/676.32
  6. Step 6: Final answer
    x = 982.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.