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Finding the Fourth Proportional to 1,054.63, 1,581.72 and 745.61

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Solution

The fourth proportional to 1,054.63, 1,581.72 and 745.61 is: 1,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.63 : 1,581.72 = 745.61 : x
  2. Step 2: Convert to fraction form
    1,054.63/1,581.72 = 745.61/x
  3. Step 3: Cross multiply
    1,054.63x = 1,581.72 × 745.61
  4. Step 4: Simplify right side
    1,054.63x = 1,179,346.25
  5. Step 5: Solve for x
    x = 1,179,346.25/1,054.63
  6. Step 6: Final answer
    x = 1,118.26

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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.