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Finding the Fourth Proportional to 789.30, 1,089.16 and 457.62

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Solution

The fourth proportional to 789.30, 1,089.16 and 457.62 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.30 : 1,089.16 = 457.62 : x
  2. Step 2: Convert to fraction form
    789.30/1,089.16 = 457.62/x
  3. Step 3: Cross multiply
    789.30x = 1,089.16 × 457.62
  4. Step 4: Simplify right side
    789.30x = 498,421.40
  5. Step 5: Solve for x
    x = 498,421.40/789.30
  6. Step 6: Final answer
    x = 631.47

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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.