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Finding the Fourth Proportional to 1,088.57, 1,632.83 and 439.13

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Solution

The fourth proportional to 1,088.57, 1,632.83 and 439.13 is: 658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.57 : 1,632.83 = 439.13 : x
  2. Step 2: Convert to fraction form
    1,088.57/1,632.83 = 439.13/x
  3. Step 3: Cross multiply
    1,088.57x = 1,632.83 × 439.13
  4. Step 4: Simplify right side
    1,088.57x = 717,014.28
  5. Step 5: Solve for x
    x = 717,014.28/1,088.57
  6. Step 6: Final answer
    x = 658.68

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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.