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Finding the Fourth Proportional to 676.69, 1,014.51 and 383.88

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Solution

The fourth proportional to 676.69, 1,014.51 and 383.88 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.69 : 1,014.51 = 383.88 : x
  2. Step 2: Convert to fraction form
    676.69/1,014.51 = 383.88/x
  3. Step 3: Cross multiply
    676.69x = 1,014.51 × 383.88
  4. Step 4: Simplify right side
    676.69x = 389,450.10
  5. Step 5: Solve for x
    x = 389,450.10/676.69
  6. Step 6: Final answer
    x = 575.52

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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.