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Finding the Fourth Proportional to 1,088.42, 1,632.90 and 318.92

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Solution

The fourth proportional to 1,088.42, 1,632.90 and 318.92 is: 478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.42 : 1,632.90 = 318.92 : x
  2. Step 2: Convert to fraction form
    1,088.42/1,632.90 = 318.92/x
  3. Step 3: Cross multiply
    1,088.42x = 1,632.90 × 318.92
  4. Step 4: Simplify right side
    1,088.42x = 520,764.47
  5. Step 5: Solve for x
    x = 520,764.47/1,088.42
  6. Step 6: Final answer
    x = 478.46

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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.