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Finding the Fourth Proportional to 679.42, 1,019.10 and 314.08

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Solution

The fourth proportional to 679.42, 1,019.10 and 314.08 is: 471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.42 : 1,019.10 = 314.08 : x
  2. Step 2: Convert to fraction form
    679.42/1,019.10 = 314.08/x
  3. Step 3: Cross multiply
    679.42x = 1,019.10 × 314.08
  4. Step 4: Simplify right side
    679.42x = 320,078.93
  5. Step 5: Solve for x
    x = 320,078.93/679.42
  6. Step 6: Final answer
    x = 471.11

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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.