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Finding the Fourth Proportional to 679.81, 1,020.12 and 465.16

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Solution

The fourth proportional to 679.81, 1,020.12 and 465.16 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.81 : 1,020.12 = 465.16 : x
  2. Step 2: Convert to fraction form
    679.81/1,020.12 = 465.16/x
  3. Step 3: Cross multiply
    679.81x = 1,020.12 × 465.16
  4. Step 4: Simplify right side
    679.81x = 474,519.02
  5. Step 5: Solve for x
    x = 474,519.02/679.81
  6. Step 6: Final answer
    x = 698.02

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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.