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Finding the Fourth Proportional to 1,087.67, 1,631.70 and 438.45

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Solution

The fourth proportional to 1,087.67, 1,631.70 and 438.45 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.67 : 1,631.70 = 438.45 : x
  2. Step 2: Convert to fraction form
    1,087.67/1,631.70 = 438.45/x
  3. Step 3: Cross multiply
    1,087.67x = 1,631.70 × 438.45
  4. Step 4: Simplify right side
    1,087.67x = 715,418.87
  5. Step 5: Solve for x
    x = 715,418.87/1,087.67
  6. Step 6: Final answer
    x = 657.75

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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.