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Finding the Fourth Proportional to 1,088.08, 1,632.52 and 511.36

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Solution

The fourth proportional to 1,088.08, 1,632.52 and 511.36 is: 767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.08 : 1,632.52 = 511.36 : x
  2. Step 2: Convert to fraction form
    1,088.08/1,632.52 = 511.36/x
  3. Step 3: Cross multiply
    1,088.08x = 1,632.52 × 511.36
  4. Step 4: Simplify right side
    1,088.08x = 834,805.43
  5. Step 5: Solve for x
    x = 834,805.43/1,088.08
  6. Step 6: Final answer
    x = 767.23

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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.