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Finding the Fourth Proportional to 1,411.85, 2,115.75 and 794.25

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Solution

The fourth proportional to 1,411.85, 2,115.75 and 794.25 is: 1,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.85 : 2,115.75 = 794.25 : x
  2. Step 2: Convert to fraction form
    1,411.85/2,115.75 = 794.25/x
  3. Step 3: Cross multiply
    1,411.85x = 2,115.75 × 794.25
  4. Step 4: Simplify right side
    1,411.85x = 1,680,430.47
  5. Step 5: Solve for x
    x = 1,680,430.47/1,411.85
  6. Step 6: Final answer
    x = 1,190.24

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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.