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Finding the Fourth Proportional to 1,160.42, 1,739.09 and 1,005.71

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Solution

The fourth proportional to 1,160.42, 1,739.09 and 1,005.71 is: 1,507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.42 : 1,739.09 = 1,005.71 : x
  2. Step 2: Convert to fraction form
    1,160.42/1,739.09 = 1,005.71/x
  3. Step 3: Cross multiply
    1,160.42x = 1,739.09 × 1,005.71
  4. Step 4: Simplify right side
    1,160.42x = 1,749,011.51
  5. Step 5: Solve for x
    x = 1,749,011.51/1,160.42
  6. Step 6: Final answer
    x = 1,507.23

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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.