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Finding the Fourth Proportional to 1,259.88, 1,887.60 and 609.21

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Solution

The fourth proportional to 1,259.88, 1,887.60 and 609.21 is: 912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.88 : 1,887.60 = 609.21 : x
  2. Step 2: Convert to fraction form
    1,259.88/1,887.60 = 609.21/x
  3. Step 3: Cross multiply
    1,259.88x = 1,887.60 × 609.21
  4. Step 4: Simplify right side
    1,259.88x = 1,149,944.80
  5. Step 5: Solve for x
    x = 1,149,944.80/1,259.88
  6. Step 6: Final answer
    x = 912.74

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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.