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Finding the Fourth Proportional to 1,369.61, 1,890.06 and 748.61

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Solution

The fourth proportional to 1,369.61, 1,890.06 and 748.61 is: 1,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.61 : 1,890.06 = 748.61 : x
  2. Step 2: Convert to fraction form
    1,369.61/1,890.06 = 748.61/x
  3. Step 3: Cross multiply
    1,369.61x = 1,890.06 × 748.61
  4. Step 4: Simplify right side
    1,369.61x = 1,414,917.82
  5. Step 5: Solve for x
    x = 1,414,917.82/1,369.61
  6. Step 6: Final answer
    x = 1,033.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.