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Finding the Fourth Proportional to 1,088.28, 1,632.42 and 266.54

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Solution

The fourth proportional to 1,088.28, 1,632.42 and 266.54 is: 399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.28 : 1,632.42 = 266.54 : x
  2. Step 2: Convert to fraction form
    1,088.28/1,632.42 = 266.54/x
  3. Step 3: Cross multiply
    1,088.28x = 1,632.42 × 266.54
  4. Step 4: Simplify right side
    1,088.28x = 435,105.23
  5. Step 5: Solve for x
    x = 435,105.23/1,088.28
  6. Step 6: Final answer
    x = 399.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.