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Finding the Fourth Proportional to 1,112.41, 1,534.35 and 669.54

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Solution

The fourth proportional to 1,112.41, 1,534.35 and 669.54 is: 923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.41 : 1,534.35 = 669.54 : x
  2. Step 2: Convert to fraction form
    1,112.41/1,534.35 = 669.54/x
  3. Step 3: Cross multiply
    1,112.41x = 1,534.35 × 669.54
  4. Step 4: Simplify right side
    1,112.41x = 1,027,308.70
  5. Step 5: Solve for x
    x = 1,027,308.70/1,112.41
  6. Step 6: Final answer
    x = 923.50

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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.