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Finding the Fourth Proportional to 830.46, 1,246.84 and 465.48

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Solution

The fourth proportional to 830.46, 1,246.84 and 465.48 is: 698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.46 : 1,246.84 = 465.48 : x
  2. Step 2: Convert to fraction form
    830.46/1,246.84 = 465.48/x
  3. Step 3: Cross multiply
    830.46x = 1,246.84 × 465.48
  4. Step 4: Simplify right side
    830.46x = 580,379.08
  5. Step 5: Solve for x
    x = 580,379.08/830.46
  6. Step 6: Final answer
    x = 698.86

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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.