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Finding the Fourth Proportional to 1,225.40, 1,836.74 and 609.56

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Solution

The fourth proportional to 1,225.40, 1,836.74 and 609.56 is: 913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.40 : 1,836.74 = 609.56 : x
  2. Step 2: Convert to fraction form
    1,225.40/1,836.74 = 609.56/x
  3. Step 3: Cross multiply
    1,225.40x = 1,836.74 × 609.56
  4. Step 4: Simplify right side
    1,225.40x = 1,119,595.57
  5. Step 5: Solve for x
    x = 1,119,595.57/1,225.40
  6. Step 6: Final answer
    x = 913.66

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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.