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Finding the Fourth Proportional to 679.58, 1,017.84 and 313.82

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Solution

The fourth proportional to 679.58, 1,017.84 and 313.82 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.58 : 1,017.84 = 313.82 : x
  2. Step 2: Convert to fraction form
    679.58/1,017.84 = 313.82/x
  3. Step 3: Cross multiply
    679.58x = 1,017.84 × 313.82
  4. Step 4: Simplify right side
    679.58x = 319,418.55
  5. Step 5: Solve for x
    x = 319,418.55/679.58
  6. Step 6: Final answer
    x = 470.02

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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.