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Finding the Fourth Proportional to 1,142.84, 1,714.26 and 277.15

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Solution

The fourth proportional to 1,142.84, 1,714.26 and 277.15 is: 415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.84 : 1,714.26 = 277.15 : x
  2. Step 2: Convert to fraction form
    1,142.84/1,714.26 = 277.15/x
  3. Step 3: Cross multiply
    1,142.84x = 1,714.26 × 277.15
  4. Step 4: Simplify right side
    1,142.84x = 475,105.77
  5. Step 5: Solve for x
    x = 475,105.77/1,142.84
  6. Step 6: Final answer
    x = 415.73

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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.