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Finding the Fourth Proportional to 830, 1,245.32 and 419.12

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Solution

The fourth proportional to 830, 1,245.32 and 419.12 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    830 : 1,245.32 = 419.12 : x
  2. Step 2: Convert to fraction form
    830/1,245.32 = 419.12/x
  3. Step 3: Cross multiply
    830x = 1,245.32 × 419.12
  4. Step 4: Simplify right side
    830x = 521,938.52
  5. Step 5: Solve for x
    x = 521,938.52/830
  6. Step 6: Final answer
    x = 628.84

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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.