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Finding the Fourth Proportional to 830.46, 1,245.39 and 483.92

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Solution

The fourth proportional to 830.46, 1,245.39 and 483.92 is: 725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.46 : 1,245.39 = 483.92 : x
  2. Step 2: Convert to fraction form
    830.46/1,245.39 = 483.92/x
  3. Step 3: Cross multiply
    830.46x = 1,245.39 × 483.92
  4. Step 4: Simplify right side
    830.46x = 602,669.13
  5. Step 5: Solve for x
    x = 602,669.13/830.46
  6. Step 6: Final answer
    x = 725.71

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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.