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Finding the Fourth Proportional to 1,087.44, 1,631.40 and 357.53

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Solution

The fourth proportional to 1,087.44, 1,631.40 and 357.53 is: 536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.44 : 1,631.40 = 357.53 : x
  2. Step 2: Convert to fraction form
    1,087.44/1,631.40 = 357.53/x
  3. Step 3: Cross multiply
    1,087.44x = 1,631.40 × 357.53
  4. Step 4: Simplify right side
    1,087.44x = 583,272.65
  5. Step 5: Solve for x
    x = 583,272.65/1,087.44
  6. Step 6: Final answer
    x = 536.37

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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.