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Finding the Fourth Proportional to 1,236.29, 1,853.64 and 619.65

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Solution

The fourth proportional to 1,236.29, 1,853.64 and 619.65 is: 929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.29 : 1,853.64 = 619.65 : x
  2. Step 2: Convert to fraction form
    1,236.29/1,853.64 = 619.65/x
  3. Step 3: Cross multiply
    1,236.29x = 1,853.64 × 619.65
  4. Step 4: Simplify right side
    1,236.29x = 1,148,608.03
  5. Step 5: Solve for x
    x = 1,148,608.03/1,236.29
  6. Step 6: Final answer
    x = 929.08

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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.