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Finding the Fourth Proportional to 1,088.25, 1,632.35 and 438.97

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Solution

The fourth proportional to 1,088.25, 1,632.35 and 438.97 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.25 : 1,632.35 = 438.97 : x
  2. Step 2: Convert to fraction form
    1,088.25/1,632.35 = 438.97/x
  3. Step 3: Cross multiply
    1,088.25x = 1,632.35 × 438.97
  4. Step 4: Simplify right side
    1,088.25x = 716,552.68
  5. Step 5: Solve for x
    x = 716,552.68/1,088.25
  6. Step 6: Final answer
    x = 658.44

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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.