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Finding the Fourth Proportional to 1,088.02, 1,632.08 and 533.23

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Solution

The fourth proportional to 1,088.02, 1,632.08 and 533.23 is: 799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.02 : 1,632.08 = 533.23 : x
  2. Step 2: Convert to fraction form
    1,088.02/1,632.08 = 533.23/x
  3. Step 3: Cross multiply
    1,088.02x = 1,632.08 × 533.23
  4. Step 4: Simplify right side
    1,088.02x = 870,271.35
  5. Step 5: Solve for x
    x = 870,271.35/1,088.02
  6. Step 6: Final answer
    x = 799.87

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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.