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Finding the Fourth Proportional to 1,142.94, 1,714.41 and 493.23

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Solution

The fourth proportional to 1,142.94, 1,714.41 and 493.23 is: 739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.94 : 1,714.41 = 493.23 : x
  2. Step 2: Convert to fraction form
    1,142.94/1,714.41 = 493.23/x
  3. Step 3: Cross multiply
    1,142.94x = 1,714.41 × 493.23
  4. Step 4: Simplify right side
    1,142.94x = 845,598.44
  5. Step 5: Solve for x
    x = 845,598.44/1,142.94
  6. Step 6: Final answer
    x = 739.85

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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.