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Finding the Fourth Proportional to 1,238.68, 1,855.86 and 621.64

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Solution

The fourth proportional to 1,238.68, 1,855.86 and 621.64 is: 931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.68 : 1,855.86 = 621.64 : x
  2. Step 2: Convert to fraction form
    1,238.68/1,855.86 = 621.64/x
  3. Step 3: Cross multiply
    1,238.68x = 1,855.86 × 621.64
  4. Step 4: Simplify right side
    1,238.68x = 1,153,676.81
  5. Step 5: Solve for x
    x = 1,153,676.81/1,238.68
  6. Step 6: Final answer
    x = 931.38

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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.