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Finding the Fourth Proportional to 1,174.41, 1,622.02 and 800.75

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Solution

The fourth proportional to 1,174.41, 1,622.02 and 800.75 is: 1,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.41 : 1,622.02 = 800.75 : x
  2. Step 2: Convert to fraction form
    1,174.41/1,622.02 = 800.75/x
  3. Step 3: Cross multiply
    1,174.41x = 1,622.02 × 800.75
  4. Step 4: Simplify right side
    1,174.41x = 1,298,820.40
  5. Step 5: Solve for x
    x = 1,298,820.40/1,174.41
  6. Step 6: Final answer
    x = 1,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.