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Finding the Fourth Proportional to 1,252.54, 1,726.85 and 1,027.65

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Solution

The fourth proportional to 1,252.54, 1,726.85 and 1,027.65 is: 1,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.54 : 1,726.85 = 1,027.65 : x
  2. Step 2: Convert to fraction form
    1,252.54/1,726.85 = 1,027.65/x
  3. Step 3: Cross multiply
    1,252.54x = 1,726.85 × 1,027.65
  4. Step 4: Simplify right side
    1,252.54x = 1,774,606.45
  5. Step 5: Solve for x
    x = 1,774,606.45/1,252.54
  6. Step 6: Final answer
    x = 1,416.80

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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.