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Finding the Fourth Proportional to 1,087.34, 1,629.93 and 438.44

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Solution

The fourth proportional to 1,087.34, 1,629.93 and 438.44 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.34 : 1,629.93 = 438.44 : x
  2. Step 2: Convert to fraction form
    1,087.34/1,629.93 = 438.44/x
  3. Step 3: Cross multiply
    1,087.34x = 1,629.93 × 438.44
  4. Step 4: Simplify right side
    1,087.34x = 714,626.51
  5. Step 5: Solve for x
    x = 714,626.51/1,087.34
  6. Step 6: Final answer
    x = 657.22

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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.