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Finding the Fourth Proportional to 830.76, 1,245.86 and 419.63

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Solution

The fourth proportional to 830.76, 1,245.86 and 419.63 is: 629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.76 : 1,245.86 = 419.63 : x
  2. Step 2: Convert to fraction form
    830.76/1,245.86 = 419.63/x
  3. Step 3: Cross multiply
    830.76x = 1,245.86 × 419.63
  4. Step 4: Simplify right side
    830.76x = 522,802.82
  5. Step 5: Solve for x
    x = 522,802.82/830.76
  6. Step 6: Final answer
    x = 629.31

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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.