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Finding the Fourth Proportional to 676.46, 931.64 and 632.54

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Solution

The fourth proportional to 676.46, 931.64 and 632.54 is: 871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 931.64 = 632.54 : x
  2. Step 2: Convert to fraction form
    676.46/931.64 = 632.54/x
  3. Step 3: Cross multiply
    676.46x = 931.64 × 632.54
  4. Step 4: Simplify right side
    676.46x = 589,299.57
  5. Step 5: Solve for x
    x = 589,299.57/676.46
  6. Step 6: Final answer
    x = 871.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.