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Finding the Fourth Proportional to 1,087.40, 1,631.26 and 356.84

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Solution

The fourth proportional to 1,087.40, 1,631.26 and 356.84 is: 535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.40 : 1,631.26 = 356.84 : x
  2. Step 2: Convert to fraction form
    1,087.40/1,631.26 = 356.84/x
  3. Step 3: Cross multiply
    1,087.40x = 1,631.26 × 356.84
  4. Step 4: Simplify right side
    1,087.40x = 582,098.82
  5. Step 5: Solve for x
    x = 582,098.82/1,087.40
  6. Step 6: Final answer
    x = 535.31

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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.