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Finding the Fourth Proportional to 1,089.38, 1,632.86 and 472.16

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Solution

The fourth proportional to 1,089.38, 1,632.86 and 472.16 is: 707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.38 : 1,632.86 = 472.16 : x
  2. Step 2: Convert to fraction form
    1,089.38/1,632.86 = 472.16/x
  3. Step 3: Cross multiply
    1,089.38x = 1,632.86 × 472.16
  4. Step 4: Simplify right side
    1,089.38x = 770,974.67
  5. Step 5: Solve for x
    x = 770,974.67/1,089.38
  6. Step 6: Final answer
    x = 707.72

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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.