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Finding the Fourth Proportional to 789.11, 1,088.67 and 457.48

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Solution

The fourth proportional to 789.11, 1,088.67 and 457.48 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.11 : 1,088.67 = 457.48 : x
  2. Step 2: Convert to fraction form
    789.11/1,088.67 = 457.48/x
  3. Step 3: Cross multiply
    789.11x = 1,088.67 × 457.48
  4. Step 4: Simplify right side
    789.11x = 498,042.03
  5. Step 5: Solve for x
    x = 498,042.03/789.11
  6. Step 6: Final answer
    x = 631.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.