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Finding the Fourth Proportional to 1,225.75, 1,837.71 and 738.69

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Solution

The fourth proportional to 1,225.75, 1,837.71 and 738.69 is: 1,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.75 : 1,837.71 = 738.69 : x
  2. Step 2: Convert to fraction form
    1,225.75/1,837.71 = 738.69/x
  3. Step 3: Cross multiply
    1,225.75x = 1,837.71 × 738.69
  4. Step 4: Simplify right side
    1,225.75x = 1,357,498.00
  5. Step 5: Solve for x
    x = 1,357,498.00/1,225.75
  6. Step 6: Final answer
    x = 1,107.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.