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Finding the Fourth Proportional to 830.01, 1,245.10 and 309.89

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Solution

The fourth proportional to 830.01, 1,245.10 and 309.89 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.01 : 1,245.10 = 309.89 : x
  2. Step 2: Convert to fraction form
    830.01/1,245.10 = 309.89/x
  3. Step 3: Cross multiply
    830.01x = 1,245.10 × 309.89
  4. Step 4: Simplify right side
    830.01x = 385,839.38
  5. Step 5: Solve for x
    x = 385,839.38/830.01
  6. Step 6: Final answer
    x = 464.86

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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.