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Finding the Fourth Proportional to 1,380.83, 1,905.56 and 751.35

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Solution

The fourth proportional to 1,380.83, 1,905.56 and 751.35 is: 1,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.83 : 1,905.56 = 751.35 : x
  2. Step 2: Convert to fraction form
    1,380.83/1,905.56 = 751.35/x
  3. Step 3: Cross multiply
    1,380.83x = 1,905.56 × 751.35
  4. Step 4: Simplify right side
    1,380.83x = 1,431,742.51
  5. Step 5: Solve for x
    x = 1,431,742.51/1,380.83
  6. Step 6: Final answer
    x = 1,036.87

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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.