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Finding the Fourth Proportional to 1,088.08, 1,632.07 and 266.31

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Solution

The fourth proportional to 1,088.08, 1,632.07 and 266.31 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.08 : 1,632.07 = 266.31 : x
  2. Step 2: Convert to fraction form
    1,088.08/1,632.07 = 266.31/x
  3. Step 3: Cross multiply
    1,088.08x = 1,632.07 × 266.31
  4. Step 4: Simplify right side
    1,088.08x = 434,627.07
  5. Step 5: Solve for x
    x = 434,627.07/1,088.08
  6. Step 6: Final answer
    x = 399.45

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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.