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Finding the Fourth Proportional to 1,088.27, 1,632.41 and 318.77

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Solution

The fourth proportional to 1,088.27, 1,632.41 and 318.77 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.27 : 1,632.41 = 318.77 : x
  2. Step 2: Convert to fraction form
    1,088.27/1,632.41 = 318.77/x
  3. Step 3: Cross multiply
    1,088.27x = 1,632.41 × 318.77
  4. Step 4: Simplify right side
    1,088.27x = 520,363.34
  5. Step 5: Solve for x
    x = 520,363.34/1,088.27
  6. Step 6: Final answer
    x = 478.16

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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.