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Finding the Fourth Proportional to 789.35, 1,182.33 and 766.53

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Solution

The fourth proportional to 789.35, 1,182.33 and 766.53 is: 1,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.35 : 1,182.33 = 766.53 : x
  2. Step 2: Convert to fraction form
    789.35/1,182.33 = 766.53/x
  3. Step 3: Cross multiply
    789.35x = 1,182.33 × 766.53
  4. Step 4: Simplify right side
    789.35x = 906,291.41
  5. Step 5: Solve for x
    x = 906,291.41/789.35
  6. Step 6: Final answer
    x = 1,148.16

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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.