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Finding the Fourth Proportional to 1,088.27, 1,632.39 and 266.52

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Solution

The fourth proportional to 1,088.27, 1,632.39 and 266.52 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.27 : 1,632.39 = 266.52 : x
  2. Step 2: Convert to fraction form
    1,088.27/1,632.39 = 266.52/x
  3. Step 3: Cross multiply
    1,088.27x = 1,632.39 × 266.52
  4. Step 4: Simplify right side
    1,088.27x = 435,064.58
  5. Step 5: Solve for x
    x = 435,064.58/1,088.27
  6. Step 6: Final answer
    x = 399.78

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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.