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Finding the Fourth Proportional to 783.63, 1,174.41 and 417.63

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Solution

The fourth proportional to 783.63, 1,174.41 and 417.63 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.63 : 1,174.41 = 417.63 : x
  2. Step 2: Convert to fraction form
    783.63/1,174.41 = 417.63/x
  3. Step 3: Cross multiply
    783.63x = 1,174.41 × 417.63
  4. Step 4: Simplify right side
    783.63x = 490,468.85
  5. Step 5: Solve for x
    x = 490,468.85/783.63
  6. Step 6: Final answer
    x = 625.89

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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.