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Finding the Fourth Proportional to 1,236.48, 1,854.74 and 505.55

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Solution

The fourth proportional to 1,236.48, 1,854.74 and 505.55 is: 758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.48 : 1,854.74 = 505.55 : x
  2. Step 2: Convert to fraction form
    1,236.48/1,854.74 = 505.55/x
  3. Step 3: Cross multiply
    1,236.48x = 1,854.74 × 505.55
  4. Step 4: Simplify right side
    1,236.48x = 937,652.01
  5. Step 5: Solve for x
    x = 937,652.01/1,236.48
  6. Step 6: Final answer
    x = 758.32

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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.