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Finding the Fourth Proportional to 1,423.78, 2,134.59 and 773.62

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Solution

The fourth proportional to 1,423.78, 2,134.59 and 773.62 is: 1,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.78 : 2,134.59 = 773.62 : x
  2. Step 2: Convert to fraction form
    1,423.78/2,134.59 = 773.62/x
  3. Step 3: Cross multiply
    1,423.78x = 2,134.59 × 773.62
  4. Step 4: Simplify right side
    1,423.78x = 1,651,361.52
  5. Step 5: Solve for x
    x = 1,651,361.52/1,423.78
  6. Step 6: Final answer
    x = 1,159.84

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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.