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Finding the Fourth Proportional to 1,087.97, 1,632.15 and 438.75

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Solution

The fourth proportional to 1,087.97, 1,632.15 and 438.75 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.97 : 1,632.15 = 438.75 : x
  2. Step 2: Convert to fraction form
    1,087.97/1,632.15 = 438.75/x
  3. Step 3: Cross multiply
    1,087.97x = 1,632.15 × 438.75
  4. Step 4: Simplify right side
    1,087.97x = 716,105.81
  5. Step 5: Solve for x
    x = 716,105.81/1,087.97
  6. Step 6: Final answer
    x = 658.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.