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Finding the Fourth Proportional to 1,259.21, 1,889.12 and 609.19

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Solution

The fourth proportional to 1,259.21, 1,889.12 and 609.19 is: 913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.21 : 1,889.12 = 609.19 : x
  2. Step 2: Convert to fraction form
    1,259.21/1,889.12 = 609.19/x
  3. Step 3: Cross multiply
    1,259.21x = 1,889.12 × 609.19
  4. Step 4: Simplify right side
    1,259.21x = 1,150,829.81
  5. Step 5: Solve for x
    x = 1,150,829.81/1,259.21
  6. Step 6: Final answer
    x = 913.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.