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Finding the Fourth Proportional to 830.46, 1,246.67 and 465.54

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Solution

The fourth proportional to 830.46, 1,246.67 and 465.54 is: 698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.46 : 1,246.67 = 465.54 : x
  2. Step 2: Convert to fraction form
    830.46/1,246.67 = 465.54/x
  3. Step 3: Cross multiply
    830.46x = 1,246.67 × 465.54
  4. Step 4: Simplify right side
    830.46x = 580,374.75
  5. Step 5: Solve for x
    x = 580,374.75/830.46
  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.