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Finding the Fourth Proportional to 1,088.82, 1,632.69 and 533.16

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Solution

The fourth proportional to 1,088.82, 1,632.69 and 533.16 is: 799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.82 : 1,632.69 = 533.16 : x
  2. Step 2: Convert to fraction form
    1,088.82/1,632.69 = 533.16/x
  3. Step 3: Cross multiply
    1,088.82x = 1,632.69 × 533.16
  4. Step 4: Simplify right side
    1,088.82x = 870,485.00
  5. Step 5: Solve for x
    x = 870,485.00/1,088.82
  6. Step 6: Final answer
    x = 799.48

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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.