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Finding the Fourth Proportional to 1,411.86, 1,948.35 and 773.85

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Solution

The fourth proportional to 1,411.86, 1,948.35 and 773.85 is: 1,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.86 : 1,948.35 = 773.85 : x
  2. Step 2: Convert to fraction form
    1,411.86/1,948.35 = 773.85/x
  3. Step 3: Cross multiply
    1,411.86x = 1,948.35 × 773.85
  4. Step 4: Simplify right side
    1,411.86x = 1,507,730.65
  5. Step 5: Solve for x
    x = 1,507,730.65/1,411.86
  6. Step 6: Final answer
    x = 1,067.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.