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Finding the Fourth Proportional to 783.44, 1,174.56 and 417.92

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Solution

The fourth proportional to 783.44, 1,174.56 and 417.92 is: 626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.44 : 1,174.56 = 417.92 : x
  2. Step 2: Convert to fraction form
    783.44/1,174.56 = 417.92/x
  3. Step 3: Cross multiply
    783.44x = 1,174.56 × 417.92
  4. Step 4: Simplify right side
    783.44x = 490,872.12
  5. Step 5: Solve for x
    x = 490,872.12/783.44
  6. Step 6: Final answer
    x = 626.56

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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.