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Finding the Fourth Proportional to 782.81, 1,174.39 and 417.52

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Solution

The fourth proportional to 782.81, 1,174.39 and 417.52 is: 626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,174.39 = 417.52 : x
  2. Step 2: Convert to fraction form
    782.81/1,174.39 = 417.52/x
  3. Step 3: Cross multiply
    782.81x = 1,174.39 × 417.52
  4. Step 4: Simplify right side
    782.81x = 490,327.33
  5. Step 5: Solve for x
    x = 490,327.33/782.81
  6. Step 6: Final answer
    x = 626.37

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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.