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Finding the Fourth Proportional to 782.63, 1,174.29 and 417.33

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Solution

The fourth proportional to 782.63, 1,174.29 and 417.33 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,174.29 = 417.33 : x
  2. Step 2: Convert to fraction form
    782.63/1,174.29 = 417.33/x
  3. Step 3: Cross multiply
    782.63x = 1,174.29 × 417.33
  4. Step 4: Simplify right side
    782.63x = 490,066.45
  5. Step 5: Solve for x
    x = 490,066.45/782.63
  6. Step 6: Final answer
    x = 626.18

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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.