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Finding the Fourth Proportional to 1,128.89, 1,558.22 and 735.95

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Solution

The fourth proportional to 1,128.89, 1,558.22 and 735.95 is: 1,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.89 : 1,558.22 = 735.95 : x
  2. Step 2: Convert to fraction form
    1,128.89/1,558.22 = 735.95/x
  3. Step 3: Cross multiply
    1,128.89x = 1,558.22 × 735.95
  4. Step 4: Simplify right side
    1,128.89x = 1,146,772.22
  5. Step 5: Solve for x
    x = 1,146,772.22/1,128.89
  6. Step 6: Final answer
    x = 1,015.84

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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.