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Finding the Fourth Proportional to 1,142.69, 1,714.05 and 362.70

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Solution

The fourth proportional to 1,142.69, 1,714.05 and 362.70 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.69 : 1,714.05 = 362.70 : x
  2. Step 2: Convert to fraction form
    1,142.69/1,714.05 = 362.70/x
  3. Step 3: Cross multiply
    1,142.69x = 1,714.05 × 362.70
  4. Step 4: Simplify right side
    1,142.69x = 621,685.94
  5. Step 5: Solve for x
    x = 621,685.94/1,142.69
  6. Step 6: Final answer
    x = 544.06

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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.