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Finding the Fourth Proportional to 1,088.34, 1,632.42 and 318.84

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Solution

The fourth proportional to 1,088.34, 1,632.42 and 318.84 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.34 : 1,632.42 = 318.84 : x
  2. Step 2: Convert to fraction form
    1,088.34/1,632.42 = 318.84/x
  3. Step 3: Cross multiply
    1,088.34x = 1,632.42 × 318.84
  4. Step 4: Simplify right side
    1,088.34x = 520,480.79
  5. Step 5: Solve for x
    x = 520,480.79/1,088.34
  6. Step 6: Final answer
    x = 478.23

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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.