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Finding the Fourth Proportional to 1,375.76, 1,898.32 and 778.05

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Solution

The fourth proportional to 1,375.76, 1,898.32 and 778.05 is: 1,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.76 : 1,898.32 = 778.05 : x
  2. Step 2: Convert to fraction form
    1,375.76/1,898.32 = 778.05/x
  3. Step 3: Cross multiply
    1,375.76x = 1,898.32 × 778.05
  4. Step 4: Simplify right side
    1,375.76x = 1,476,987.88
  5. Step 5: Solve for x
    x = 1,476,987.88/1,375.76
  6. Step 6: Final answer
    x = 1,073.58

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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.