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Finding the Fourth Proportional to 1,088.33, 1,632.48 and 266.61

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Solution

The fourth proportional to 1,088.33, 1,632.48 and 266.61 is: 399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.33 : 1,632.48 = 266.61 : x
  2. Step 2: Convert to fraction form
    1,088.33/1,632.48 = 266.61/x
  3. Step 3: Cross multiply
    1,088.33x = 1,632.48 × 266.61
  4. Step 4: Simplify right side
    1,088.33x = 435,235.49
  5. Step 5: Solve for x
    x = 435,235.49/1,088.33
  6. Step 6: Final answer
    x = 399.91

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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.