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Finding the Fourth Proportional to 1,238.54, 1,857.74 and 314.08

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Solution

The fourth proportional to 1,238.54, 1,857.74 and 314.08 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.54 : 1,857.74 = 314.08 : x
  2. Step 2: Convert to fraction form
    1,238.54/1,857.74 = 314.08/x
  3. Step 3: Cross multiply
    1,238.54x = 1,857.74 × 314.08
  4. Step 4: Simplify right side
    1,238.54x = 583,478.98
  5. Step 5: Solve for x
    x = 583,478.98/1,238.54
  6. Step 6: Final answer
    x = 471.10

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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.