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Finding the Fourth Proportional to 830.93, 1,246.35 and 343.97

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Solution

The fourth proportional to 830.93, 1,246.35 and 343.97 is: 515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.93 : 1,246.35 = 343.97 : x
  2. Step 2: Convert to fraction form
    830.93/1,246.35 = 343.97/x
  3. Step 3: Cross multiply
    830.93x = 1,246.35 × 343.97
  4. Step 4: Simplify right side
    830.93x = 428,706.15
  5. Step 5: Solve for x
    x = 428,706.15/830.93
  6. Step 6: Final answer
    x = 515.93

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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.