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Finding the Fourth Proportional to 1,088.28, 1,632.80 and 511.20

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Solution

The fourth proportional to 1,088.28, 1,632.80 and 511.20 is: 766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.28 : 1,632.80 = 511.20 : x
  2. Step 2: Convert to fraction form
    1,088.28/1,632.80 = 511.20/x
  3. Step 3: Cross multiply
    1,088.28x = 1,632.80 × 511.20
  4. Step 4: Simplify right side
    1,088.28x = 834,687.36
  5. Step 5: Solve for x
    x = 834,687.36/1,088.28
  6. Step 6: Final answer
    x = 766.98

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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.