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Finding the Fourth Proportional to 1,088.09, 1,632.23 and 308.10

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Solution

The fourth proportional to 1,088.09, 1,632.23 and 308.10 is: 462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.09 : 1,632.23 = 308.10 : x
  2. Step 2: Convert to fraction form
    1,088.09/1,632.23 = 308.10/x
  3. Step 3: Cross multiply
    1,088.09x = 1,632.23 × 308.10
  4. Step 4: Simplify right side
    1,088.09x = 502,890.06
  5. Step 5: Solve for x
    x = 502,890.06/1,088.09
  6. Step 6: Final answer
    x = 462.18

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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.