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Finding the Fourth Proportional to 1,383.98, 2,076.58 and 734.77

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Solution

The fourth proportional to 1,383.98, 2,076.58 and 734.77 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.98 : 2,076.58 = 734.77 : x
  2. Step 2: Convert to fraction form
    1,383.98/2,076.58 = 734.77/x
  3. Step 3: Cross multiply
    1,383.98x = 2,076.58 × 734.77
  4. Step 4: Simplify right side
    1,383.98x = 1,525,798.30
  5. Step 5: Solve for x
    x = 1,525,798.30/1,383.98
  6. Step 6: Final answer
    x = 1,102.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.