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Finding the Fourth Proportional to 1,407.33, 2,109.78 and 757.31

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Solution

The fourth proportional to 1,407.33, 2,109.78 and 757.31 is: 1,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.33 : 2,109.78 = 757.31 : x
  2. Step 2: Convert to fraction form
    1,407.33/2,109.78 = 757.31/x
  3. Step 3: Cross multiply
    1,407.33x = 2,109.78 × 757.31
  4. Step 4: Simplify right side
    1,407.33x = 1,597,746.94
  5. Step 5: Solve for x
    x = 1,597,746.94/1,407.33
  6. Step 6: Final answer
    x = 1,135.30

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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.