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Finding the Fourth Proportional to 1,065.09, 1,594.96 and 673.91

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Solution

The fourth proportional to 1,065.09, 1,594.96 and 673.91 is: 1,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.09 : 1,594.96 = 673.91 : x
  2. Step 2: Convert to fraction form
    1,065.09/1,594.96 = 673.91/x
  3. Step 3: Cross multiply
    1,065.09x = 1,594.96 × 673.91
  4. Step 4: Simplify right side
    1,065.09x = 1,074,849.83
  5. Step 5: Solve for x
    x = 1,074,849.83/1,065.09
  6. Step 6: Final answer
    x = 1,009.16

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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.