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Finding the Fourth Proportional to 1,288.41, 1,776.38 and 1,052.12

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Solution

The fourth proportional to 1,288.41, 1,776.38 and 1,052.12 is: 1,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.41 : 1,776.38 = 1,052.12 : x
  2. Step 2: Convert to fraction form
    1,288.41/1,776.38 = 1,052.12/x
  3. Step 3: Cross multiply
    1,288.41x = 1,776.38 × 1,052.12
  4. Step 4: Simplify right side
    1,288.41x = 1,868,950.78
  5. Step 5: Solve for x
    x = 1,868,950.78/1,288.41
  6. Step 6: Final answer
    x = 1,450.59

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Why These Related Problems?

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