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Finding the Fourth Proportional to 1,387.30, 1,914.53 and 797.83

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Solution

The fourth proportional to 1,387.30, 1,914.53 and 797.83 is: 1,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.30 : 1,914.53 = 797.83 : x
  2. Step 2: Convert to fraction form
    1,387.30/1,914.53 = 797.83/x
  3. Step 3: Cross multiply
    1,387.30x = 1,914.53 × 797.83
  4. Step 4: Simplify right side
    1,387.30x = 1,527,474.46
  5. Step 5: Solve for x
    x = 1,527,474.46/1,387.30
  6. Step 6: Final answer
    x = 1,101.04

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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.