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Finding the Fourth Proportional to 667.09, 1,000.26 and 459.10

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Solution

The fourth proportional to 667.09, 1,000.26 and 459.10 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.09 : 1,000.26 = 459.10 : x
  2. Step 2: Convert to fraction form
    667.09/1,000.26 = 459.10/x
  3. Step 3: Cross multiply
    667.09x = 1,000.26 × 459.10
  4. Step 4: Simplify right side
    667.09x = 459,219.37
  5. Step 5: Solve for x
    x = 459,219.37/667.09
  6. Step 6: Final answer
    x = 688.39

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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.