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Finding the Fourth Proportional to 1,134.32, 1,702.32 and 769.84

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Solution

The fourth proportional to 1,134.32, 1,702.32 and 769.84 is: 1,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.32 : 1,702.32 = 769.84 : x
  2. Step 2: Convert to fraction form
    1,134.32/1,702.32 = 769.84/x
  3. Step 3: Cross multiply
    1,134.32x = 1,702.32 × 769.84
  4. Step 4: Simplify right side
    1,134.32x = 1,310,514.03
  5. Step 5: Solve for x
    x = 1,310,514.03/1,134.32
  6. Step 6: Final answer
    x = 1,155.33

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