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Finding the Fourth Proportional to 1,423.37, 2,134.72 and 729.69

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Solution

The fourth proportional to 1,423.37, 2,134.72 and 729.69 is: 1,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.37 : 2,134.72 = 729.69 : x
  2. Step 2: Convert to fraction form
    1,423.37/2,134.72 = 729.69/x
  3. Step 3: Cross multiply
    1,423.37x = 2,134.72 × 729.69
  4. Step 4: Simplify right side
    1,423.37x = 1,557,676.74
  5. Step 5: Solve for x
    x = 1,557,676.74/1,423.37
  6. Step 6: Final answer
    x = 1,094.36

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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.