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Finding the Fourth Proportional to 679.56, 1,017.54 and 354.84

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Solution

The fourth proportional to 679.56, 1,017.54 and 354.84 is: 531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.56 : 1,017.54 = 354.84 : x
  2. Step 2: Convert to fraction form
    679.56/1,017.54 = 354.84/x
  3. Step 3: Cross multiply
    679.56x = 1,017.54 × 354.84
  4. Step 4: Simplify right side
    679.56x = 361,063.89
  5. Step 5: Solve for x
    x = 361,063.89/679.56
  6. Step 6: Final answer
    x = 531.32

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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.