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Finding the Fourth Proportional to 1,375.98, 1,898.84 and 816.72

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Solution

The fourth proportional to 1,375.98, 1,898.84 and 816.72 is: 1,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.98 : 1,898.84 = 816.72 : x
  2. Step 2: Convert to fraction form
    1,375.98/1,898.84 = 816.72/x
  3. Step 3: Cross multiply
    1,375.98x = 1,898.84 × 816.72
  4. Step 4: Simplify right side
    1,375.98x = 1,550,820.60
  5. Step 5: Solve for x
    x = 1,550,820.60/1,375.98
  6. Step 6: Final answer
    x = 1,127.07

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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.