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Finding the Fourth Proportional to 789.66, 1,089.78 and 458.16

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Solution

The fourth proportional to 789.66, 1,089.78 and 458.16 is: 632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.66 : 1,089.78 = 458.16 : x
  2. Step 2: Convert to fraction form
    789.66/1,089.78 = 458.16/x
  3. Step 3: Cross multiply
    789.66x = 1,089.78 × 458.16
  4. Step 4: Simplify right side
    789.66x = 499,293.60
  5. Step 5: Solve for x
    x = 499,293.60/789.66
  6. Step 6: Final answer
    x = 632.29

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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.