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Finding the Fourth Proportional to 679.16, 1,019.46 and 435.89

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Solution

The fourth proportional to 679.16, 1,019.46 and 435.89 is: 654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.16 : 1,019.46 = 435.89 : x
  2. Step 2: Convert to fraction form
    679.16/1,019.46 = 435.89/x
  3. Step 3: Cross multiply
    679.16x = 1,019.46 × 435.89
  4. Step 4: Simplify right side
    679.16x = 444,372.42
  5. Step 5: Solve for x
    x = 444,372.42/679.16
  6. Step 6: Final answer
    x = 654.30

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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.