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Finding the Fourth Proportional to 840.20, 1,259.00 and 450.25

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Solution

The fourth proportional to 840.20, 1,259.00 and 450.25 is: 674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,259.00 = 450.25 : x
  2. Step 2: Convert to fraction form
    840.20/1,259.00 = 450.25/x
  3. Step 3: Cross multiply
    840.20x = 1,259.00 × 450.25
  4. Step 4: Simplify right side
    840.20x = 566,861.04
  5. Step 5: Solve for x
    x = 566,861.04/840.20
  6. Step 6: Final answer
    x = 674.68

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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.