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Finding the Fourth Proportional to 1,378.63, 1,901.80 and 880.75

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Solution

The fourth proportional to 1,378.63, 1,901.80 and 880.75 is: 1,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.63 : 1,901.80 = 880.75 : x
  2. Step 2: Convert to fraction form
    1,378.63/1,901.80 = 880.75/x
  3. Step 3: Cross multiply
    1,378.63x = 1,901.80 × 880.75
  4. Step 4: Simplify right side
    1,378.63x = 1,675,010.35
  5. Step 5: Solve for x
    x = 1,675,010.35/1,378.63
  6. Step 6: Final answer
    x = 1,214.98

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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.