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Finding the Fourth Proportional to 1,257.29, 1,886.24 and 737.72

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Solution

The fourth proportional to 1,257.29, 1,886.24 and 737.72 is: 1,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.29 : 1,886.24 = 737.72 : x
  2. Step 2: Convert to fraction form
    1,257.29/1,886.24 = 737.72/x
  3. Step 3: Cross multiply
    1,257.29x = 1,886.24 × 737.72
  4. Step 4: Simplify right side
    1,257.29x = 1,391,516.46
  5. Step 5: Solve for x
    x = 1,391,516.46/1,257.29
  6. Step 6: Final answer
    x = 1,106.76

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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.