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Finding the Fourth Proportional to 676.47, 1,014.56 and 259.92

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Solution

The fourth proportional to 676.47, 1,014.56 and 259.92 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 1,014.56 = 259.92 : x
  2. Step 2: Convert to fraction form
    676.47/1,014.56 = 259.92/x
  3. Step 3: Cross multiply
    676.47x = 1,014.56 × 259.92
  4. Step 4: Simplify right side
    676.47x = 263,703.14
  5. Step 5: Solve for x
    x = 263,703.14/676.47
  6. Step 6: Final answer
    x = 389.82

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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.