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Finding the Fourth Proportional to 1,138.53, 1,571.24 and 634.46

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Solution

The fourth proportional to 1,138.53, 1,571.24 and 634.46 is: 875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.53 : 1,571.24 = 634.46 : x
  2. Step 2: Convert to fraction form
    1,138.53/1,571.24 = 634.46/x
  3. Step 3: Cross multiply
    1,138.53x = 1,571.24 × 634.46
  4. Step 4: Simplify right side
    1,138.53x = 996,888.93
  5. Step 5: Solve for x
    x = 996,888.93/1,138.53
  6. Step 6: Final answer
    x = 875.60

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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.