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Finding the Fourth Proportional to 830.85, 1,246.64 and 344.01

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Solution

The fourth proportional to 830.85, 1,246.64 and 344.01 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.85 : 1,246.64 = 344.01 : x
  2. Step 2: Convert to fraction form
    830.85/1,246.64 = 344.01/x
  3. Step 3: Cross multiply
    830.85x = 1,246.64 × 344.01
  4. Step 4: Simplify right side
    830.85x = 428,854.91
  5. Step 5: Solve for x
    x = 428,854.91/830.85
  6. Step 6: Final answer
    x = 516.16

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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.