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Finding the Fourth Proportional to 1,174.33, 1,620.21 and 781.42

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Solution

The fourth proportional to 1,174.33, 1,620.21 and 781.42 is: 1,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.33 : 1,620.21 = 781.42 : x
  2. Step 2: Convert to fraction form
    1,174.33/1,620.21 = 781.42/x
  3. Step 3: Cross multiply
    1,174.33x = 1,620.21 × 781.42
  4. Step 4: Simplify right side
    1,174.33x = 1,266,064.50
  5. Step 5: Solve for x
    x = 1,266,064.50/1,174.33
  6. Step 6: Final answer
    x = 1,078.12

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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.