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Finding the Fourth Proportional to 789.14, 1,089.60 and 509.54

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Solution

The fourth proportional to 789.14, 1,089.60 and 509.54 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.14 : 1,089.60 = 509.54 : x
  2. Step 2: Convert to fraction form
    789.14/1,089.60 = 509.54/x
  3. Step 3: Cross multiply
    789.14x = 1,089.60 × 509.54
  4. Step 4: Simplify right side
    789.14x = 555,186.79
  5. Step 5: Solve for x
    x = 555,186.79/789.14
  6. Step 6: Final answer
    x = 703.53

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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.