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Finding the Fourth Proportional to 793.07, 1,188.07 and 654.45

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Solution

The fourth proportional to 793.07, 1,188.07 and 654.45 is: 980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,188.07 = 654.45 : x
  2. Step 2: Convert to fraction form
    793.07/1,188.07 = 654.45/x
  3. Step 3: Cross multiply
    793.07x = 1,188.07 × 654.45
  4. Step 4: Simplify right side
    793.07x = 777,536.34
  5. Step 5: Solve for x
    x = 777,536.34/793.07
  6. Step 6: Final answer
    x = 980.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.