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Finding the Fourth Proportional to 1,236.41, 1,854.61 and 496.35

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Solution

The fourth proportional to 1,236.41, 1,854.61 and 496.35 is: 744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.41 : 1,854.61 = 496.35 : x
  2. Step 2: Convert to fraction form
    1,236.41/1,854.61 = 496.35/x
  3. Step 3: Cross multiply
    1,236.41x = 1,854.61 × 496.35
  4. Step 4: Simplify right side
    1,236.41x = 920,541.39
  5. Step 5: Solve for x
    x = 920,541.39/1,236.41
  6. Step 6: Final answer
    x = 744.53

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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.