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Finding the Fourth Proportional to 1,142.20, 1,715.86 and 1,099

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Solution

The fourth proportional to 1,142.20, 1,715.86 and 1,099 is: 1,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.20 : 1,715.86 = 1,099 : x
  2. Step 2: Convert to fraction form
    1,142.20/1,715.86 = 1,099/x
  3. Step 3: Cross multiply
    1,142.20x = 1,715.86 × 1,099
  4. Step 4: Simplify right side
    1,142.20x = 1,885,730.14
  5. Step 5: Solve for x
    x = 1,885,730.14/1,142.20
  6. Step 6: Final answer
    x = 1,650.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.