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Finding the Fourth Proportional to 1,088.26, 1,632.38 and 266.54

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Solution

The fourth proportional to 1,088.26, 1,632.38 and 266.54 is: 399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.26 : 1,632.38 = 266.54 : x
  2. Step 2: Convert to fraction form
    1,088.26/1,632.38 = 266.54/x
  3. Step 3: Cross multiply
    1,088.26x = 1,632.38 × 266.54
  4. Step 4: Simplify right side
    1,088.26x = 435,085.07
  5. Step 5: Solve for x
    x = 435,085.07/1,088.26
  6. Step 6: Final answer
    x = 399.80

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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.