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Finding the Fourth Proportional to 676.86, 1,014.08 and 459.66

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Solution

The fourth proportional to 676.86, 1,014.08 and 459.66 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.86 : 1,014.08 = 459.66 : x
  2. Step 2: Convert to fraction form
    676.86/1,014.08 = 459.66/x
  3. Step 3: Cross multiply
    676.86x = 1,014.08 × 459.66
  4. Step 4: Simplify right side
    676.86x = 466,132.01
  5. Step 5: Solve for x
    x = 466,132.01/676.86
  6. Step 6: Final answer
    x = 688.67

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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.