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Finding the Fourth Proportional to 830.10, 1,245.14 and 343.16

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Solution

The fourth proportional to 830.10, 1,245.14 and 343.16 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,245.14 = 343.16 : x
  2. Step 2: Convert to fraction form
    830.10/1,245.14 = 343.16/x
  3. Step 3: Cross multiply
    830.10x = 1,245.14 × 343.16
  4. Step 4: Simplify right side
    830.10x = 427,282.24
  5. Step 5: Solve for x
    x = 427,282.24/830.10
  6. Step 6: Final answer
    x = 514.74

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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.