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Finding the Fourth Proportional to 1,162.56, 1,735.56 and 1,009.68

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Solution

The fourth proportional to 1,162.56, 1,735.56 and 1,009.68 is: 1,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.56 : 1,735.56 = 1,009.68 : x
  2. Step 2: Convert to fraction form
    1,162.56/1,735.56 = 1,009.68/x
  3. Step 3: Cross multiply
    1,162.56x = 1,735.56 × 1,009.68
  4. Step 4: Simplify right side
    1,162.56x = 1,752,360.22
  5. Step 5: Solve for x
    x = 1,752,360.22/1,162.56
  6. Step 6: Final answer
    x = 1,507.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.