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Finding the Fourth Proportional to 1,385.55, 1,912.25 and 795.98

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Solution

The fourth proportional to 1,385.55, 1,912.25 and 795.98 is: 1,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.55 : 1,912.25 = 795.98 : x
  2. Step 2: Convert to fraction form
    1,385.55/1,912.25 = 795.98/x
  3. Step 3: Cross multiply
    1,385.55x = 1,912.25 × 795.98
  4. Step 4: Simplify right side
    1,385.55x = 1,522,119.53
  5. Step 5: Solve for x
    x = 1,522,119.53/1,385.55
  6. Step 6: Final answer
    x = 1,098.57

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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.